AP Stats Unit 4 Final Exam Review

Front

What is the probability that a device with independent components A, B, and C (failure rates 0.01, 0.03, 0.04) will not fail in one year?

Back

0.922

Front

How do you calculate the mean and standard deviation of the electricity cost for a DVD rental machine with a mean of 134 rentals and a cost of $1.45 per day plus $0.02 per rental?

Back

Mean = $4.13, Standard Deviation = $0.64

Front

What is the distribution of the total weight T of four tomatoes if each tomato's weight follows a Normal distribution with mean 10 ounces and standard deviation 1 ounce?

Back

Normal, with mean 40 ounces and standard deviation 2 ounces

Front

What is the probability that a hospital's capacity of 10 cases will be exceeded if 17 people have a 40% chance of contracting a disease?

Back

0.035

Front

In a parking lot with 200 cars, what cannot be the probability of selecting a green car if there are 50 white, 30 red, and 20 silver cars?

Back

0.6

Front

Define independent events in probability.

Back

Two events are independent if the occurrence of one does not affect the probability of the other.

Front

What is the formula for calculating the probability of the union of two independent events A and B?

Back

P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B) if A and B are independent.

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the population's distribution.

Front

What is a Normal distribution?

Back

A Normal distribution is a continuous probability distribution characterized by a symmetric bell-shaped curve, defined by its mean and standard deviation.

Front

How do you find the standard deviation of a sum of independent random variables?

Back

The standard deviation of the sum is the square root of the sum of the variances: SD(X + Y) = sqrt(SD(X)^2 + SD(Y)^2).