situation. If a random sample of 25 people are selected from such a population, what is the

probability that at least two will be displeased?

A) 0.045

B) 0.311

C) 0.373

D) 0.627

E) 0.689

Answer:
### What is probability?

The **probability** that at least two people will be **displeased** in a random sample of 25 people is approximately 0.202.

It is the chance of an event to occur from a total number of **outcomes**.

The formula for probability is given as:

**Probability** = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem can be solved using the **binomial****distribution** since we have a fixed number of trials (selecting 25 people) and each trial has two possible outcomes (displeased or not displeased).

Let p be the **probability** of an individual being **displeased**, which is given as 0.045 (or 4.5% as a decimal).

Then, the probability of an individual not being displeased is:

1 - p = 0.955.

Let X be the number of **displeased****people** in a random sample of 25.

We want to find the **probability** that at least two people are displeased, which can be expressed as:

P(X ≥ 2) = 1 - P(X < 2)

To **calculate** P(X < 2), we can use the binomial distribution formula:

where n is the **sample****size** (25), k is the number of **displeased****people**, and (n choose k) is the binomial coefficient which represents the number of ways to choose k items from a set of n items.

For k = 0, we have:

≈ 0.378

For k = 1, we have:

≈ 0.42

Therefore,

P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.798.

Finally, we can calculate,

P(X ≥ 2) = 1 - P(X < 2)

= 1 - 0.798

= 0.202.

Thus,

The **probability** that at least two people will be **displeased** in a random sample of 25 people is approximately 0.202.

Learn more about **probability** here:

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Answer:

Answer:

Step-by-step explanation:

The correct answer is (B).

Let X = the number of people that are displeased in a random sample of 25 people selected from a population of which 4.5% will be displeased regardless of the situation. Then X is a binomial random variable with n = 25 and p = 0.045.

P(X ≥ 2) = 1 – P(X ≤ 1) = 1 – binomcdf(n: 25, p: 0.045, x-value: 1) = 0.311.

P(X ≥ 2) = 1 – [P(X = 0) + P(X = 1)] = 1 – 0C25(0.045)0(1 – 0.045)25 – 25C1(0.045)1(1 – 0.045)24 = 0.311.

Which equation gives the line shown on the graph?yy=2.0 +4109y= {x + 4876y=-3x – 45y = 23 – 432.1001 23 4 5 6 7 8 9 10 need help

Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New England Patriots. We are interested in the number of Patriots picked.a. In words, define the random variable X.b. List the values that X may take on.c. Give the distribution of X. X ~ _____(_____,_____)d. Are you choosing the nine athletes with or without replacement?

[8 3 2]What are the dimensions of the matrix? ____ * ____ * = multiplication Answr if only know with solution..or no brainliest answer to u

Karly is choosing between two health clubs. Yoga Studio A charges a membership fee of $22.00 and $24.50 per month. Yoga Studio B charges a membership fee of $47.00 and $18.25 per month. At how many months will they cost the same? *

A spherical tank has a radius of 6 yards. It is filled with a liquid that costs $7.50 percubic yard. What is the total value of the liquid in the tank? Use 3.14 for$1695.60$6782.40$904.32$565.20

Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New England Patriots. We are interested in the number of Patriots picked.a. In words, define the random variable X.b. List the values that X may take on.c. Give the distribution of X. X ~ _____(_____,_____)d. Are you choosing the nine athletes with or without replacement?

[8 3 2]What are the dimensions of the matrix? ____ * ____ * = multiplication Answr if only know with solution..or no brainliest answer to u

Karly is choosing between two health clubs. Yoga Studio A charges a membership fee of $22.00 and $24.50 per month. Yoga Studio B charges a membership fee of $47.00 and $18.25 per month. At how many months will they cost the same? *

A spherical tank has a radius of 6 yards. It is filled with a liquid that costs $7.50 percubic yard. What is the total value of the liquid in the tank? Use 3.14 for$1695.60$6782.40$904.32$565.20

Find, if possible, the slope of the line through the points (2 , 5) and (-4 , 5)

**Answer:**

0

**Step-by-step explanation:**

m=(y2-y1)/(x2-x1)

m=(5-5)/(-4-2)

m=0/-6

m=0

**Answer:**

**Step-by-step explanation:**

Every perpendicular corner of a square is 90 degrees.

Lines are cut half diagonally.

So

The **Tree diagram **is shown below.

There are **two****parts **to a probability tree diagram. These are given as follows:

**Node**- it is used to represent an event.**Branch**- it is used to connect two events. The probability of occurrence of an event is written on a branch.

Given:

The **tree diagram **for Nickel, a dime, and a quarter is shown below

**Nickle Dime Quarter Outcome**

Head----------------> HHH

Head /

/ \ Tail----------------> HHT

/

Heads

\

\

Tail / Head----------------> HTH

\ Tail----------------> HTT

/ Head----------------> THH

Head

/ \ Tail----------------> THT

/

Heads

\ Head----------------> TTH

\ /

Tail

\

Tail----------------> TTT

Learn more about **Tree Diagram** here:

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is there any options I can chose from

b. What is the standard deviation of the amount spent?

c. If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year?

d. What is the probability a family spends more than $3,000 per year?

**Answer: a. 2100**

**b. 981.5**

**c. 0.471**

**d. 0.235**

**Step-by-step explanation:**

Given: According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance.

If the money spent is uniformly distributed between these amounts.

Let A=$400 and B= $3,800

**a.** The mean amount spent on insurance =

**b. ** The standard deviation of the amount spent=

**c. **To calculate, the probability they spend less than $2,000 per year on insurance per year ,it means the amount is between 400 and 2000 i.e

Amount=$2000-$400=$1600

Then P(400<insurance amount<2000)

**d.** Ia a family spends more than $3000 then the amount is between $3000 and $3800, i.e. Amount= $3800-$3000=$800

Now,

P(3000<insurance amount<3800)=

a. Because of the uniform distribution, the mean = the middle of both numbers, or 1/2(3800 + 400) = $2100.

b. To find the standard deviation, we take the variance ((b-a)/√12) and plug in the values:

(3800 - 400)/√12

3400/√12

~981.5

c. Again, because of uniform distribution, we just have to find the percentage that all numbers less than 2000 have in the range of 400 to 3800. To make things simple, I'm going to subtract 400 from both 3800 and 2000 so the data cuts off at 0. The equation is:

1600 = 3400 * x

16/34 = x (simplified from 1600/3400)

8/17 = x

8/17 is about 0.47, or 47%, so that's your amount.

d. same thing with c, but slightly different:

3800 - 400 = 3400, 3000 - 400 = 2600

3400 - 2600 = 800

800 = 3400 * x

8/34 = x

4/17 = x

4/17 is about 0.235.

b. To find the standard deviation, we take the variance ((b-a)/√12) and plug in the values:

(3800 - 400)/√12

3400/√12

~981.5

c. Again, because of uniform distribution, we just have to find the percentage that all numbers less than 2000 have in the range of 400 to 3800. To make things simple, I'm going to subtract 400 from both 3800 and 2000 so the data cuts off at 0. The equation is:

1600 = 3400 * x

16/34 = x (simplified from 1600/3400)

8/17 = x

8/17 is about 0.47, or 47%, so that's your amount.

d. same thing with c, but slightly different:

3800 - 400 = 3400, 3000 - 400 = 2600

3400 - 2600 = 800

800 = 3400 * x

8/34 = x

4/17 = x

4/17 is about 0.235.

**Answer:**

40

**Step-by-step explanation:**

5(8) = x

use 5 as bags and use 8 as number of goldfish

then times the 2 number

**Answer:**

**Step-by-step explanation: 7 b and d8**