2. Customers who purchase a certain model of car can order an engine in any of three sizes. Of all cars of this type sold, 45% have a small engine, 35% have a medium-sized engine, and 20% have a large engine. Of cars with the small engine, 10% fail an emission test within two years of purchase, while 12% of those with the medium size and 15% of those with the large engine fail. If a randomly chosen car of this model fails an emission test within two years, what is the probability it is a car with a small engine

Step-by-step explanation:

Given the following :

Small engine population = 45% ; 10% fail

Medium engine population = 35% ; 12% fail

Large engine population = 20% ; 15% fail

Probability that a randomly chosen car fails emission test :

P(failure) = Σ(population % * failure %)

P(failure) = (45%*10%) + (35%*12%) + (20%*15%)

P(failure) = 0.045 + 0.042 + 0.03 = 0.117

B) what is the probability it is a car with a small engine

P = small engine cars with emission failure / total emission failure

= (0.45 × 0.1) / 0.117 = 0.045 / 0.117 = 0.3846

= 0.385

Related Questions

What is the lateral surface area of this cylinder? r = 7ft h = 16ft Answers:

702.96 sq ft
703.36 sq ft
703.96 sq ft
704.36 sq ft​

703.36 sq ft

Step-by-step explanation:

The lateral area is the product of the circumference and the height.

LA = 2π·r·h = 2·3.14·(7 ft)(16 ft) = 703.36 ft²

_____

Please note this is not the actual area, which rounds to 703.72 ft². The above value is obtained only by using an inappropriate value for π. The 5-significant-digit answer is not supported by a 3-significant-digit value for π. More appropriate would be π≈3.1416.

I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)

The equation becomes 4610 = 2115, which is not true.

Let's break down the given equation and the steps to solve it step by step:

Given the equation: 47 × 98

Step 1: Express 98 as a combination of (47)'s and (2)'s. (98) can be written as (47 × 2).

Step 2: Substitute the expression for 98 in terms of 47 and 2 back into the equation:

47 × 98 = (47 × 47) - (2 × 47)

Step 3: Calculate the values on both sides of the equation.

- The left side: 47 × 98 = 4610.

- The right side:

- 47 × 47 = 2209

- 2 × 47 = 94

- Subtracting 94 from 2209 gives 2115.

Explanation:

1. We start with the equation 47 × 98, where 98 is represented as 47 × 2.

2. We substitute 98 in terms of 47 and 2 to get (47 × 47) - (2 × 47).

3. We calculate the values on both sides of the equation to find that they don't match. This indicates that the original equation is not true.

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2 and -49

Step-by-step explanation:

2 x -49 = -98

2 + (-49) = -47

x2 - 47x - 98 = 0

The solution to factor the quadratic equation above is:

(X + 2 ) (X - 49)

Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:

x2 - 47x - 98 = (X + 2 ) (X - 49)

Laquita divides 3 pizzas equally among her 5 children how much pizza does each child receive

0.6

Step-by-step explanation:

each child gets just over half a pizza

Step-by-step explanation:

Depends how many slices each pizza is but based on the average 8 slice pizza, 8 slices each pizza 3 pizzas 8*3= 24 slices

24/5= about 4 slices per child with 4 slices left

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.8 years, and standard deviation of 2.2 years.If 5 items are picked at random, 5% of the time their mean life will be less than how many years?

First of all we need o use the standard normal table to see what value if z will have 10% of the area (probability) to the left of it. We see that z value is approximately z = -1.282

Now all we have to do is calculate the value of x that corresponds to this value of z. We have

( x - µ ) / σ = -1.282 Substituting in the known values, we have

( x - 4.4 ) / 1.3 = -1.282 and x = 2.73 years

NEED HELP ASAP!!!!The steps below show the work of a student used to calculate the number of yards in 6,436 meters.

(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

Step 1: 6,436 meters multiplied by conversion factor 1 mile over 1,609 meters equals 4 miles

Step 2: conversion factor of 1,760 yards over 1 mile divided by 4 miles equals 440 yards

Step 3: 440 yards
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)

How can the error in the student's work be corrected? (1 point)

a
The 6,436 meters and the 1,609 meters in Step 1 should be switched.
b
The 1 mile and the 1,609 meters in Step 1 should be switched.
c
The conversion factor should be multiplied in Step 2 instead of being divided.
d
The conversion factor should be added in Step 2 instead of being divided.

You usually wouldn't divide lengths

Step-by-step explanation:

For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life. When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?