Math 4 Unit 6 Review

Front

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?

Back

{1106, 1194}, 1106 to 1194

Front

What is the probability that exactly 2 of the first 20 blood donors have Type B blood, given that about 11% of the U.S. population has Type B blood?

Back

0.282

Front

What number is 60% of 25?

Back

15

Front

You roll a standard die. You win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. What is the expected value of a single roll?

Back

$3, 3

Front

When rolling two dice, the probability of rolling doubles is ⅙. What is the probability the player gets doubles more than twice in 4 attempts?

Back

0.016

Front

Define normal distribution.

Back

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Front

What is the empirical rule in statistics?

Back

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

What is the formula for expected value?

Back

E(X) = Σ [x * P(x)], where x is the value and P(x) is the probability of x.

Front

What is a binomial probability?

Back

The probability of obtaining a fixed number of successes in a fixed number of independent Bernoulli trials.

Front

What is the formula for calculating the probability of exactly k successes in n trials?

Back

P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where p is the probability of success.