MAT120 Module 3 Review (part 2)

A distribution of values is normal with a mean of 168.5 and a standard deviation of 32.7. Find P₉₃, which is the score separating the bottom 93% from the top 7%.

Round your answer to one decimal place.

Tags

CCSS.HSS.ID.A.4

P( z > -0.78) =

Round to three decimal places.

Tags

CCSS.HSS.ID.A.4

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.1 years, and a standard deviation of 0.6 years. If you randomly purchase one item, what is the probability it will last longer than 3 years?

Round your answer to four decimal places.

Tags

CCSS.HSS.ID.A.4

Assume that a procedure yields a binomial distribution with n = 51 trials and the probability of success for one trial is p = 0.22. Find the mean for this binomial distribution.

Round your answer to one decimal place.

Assume that a procedure yields a binomial distribution with n = 51 trials and the probability of success for one trial is p = 0.22. Find the standard deviation for this distribution.

Round your answer to two decimals.

Assume that a procedure yields a binomial distribution with n = 51 trials and the probability of success for one trial is p = 0.22. Find the variance for this distribution.

Round your answer to two decimals.

Weights are normally distributed with a mean of 344 grams and a standard deviation of 8 grams. The heaviest 4% weigh more than how many grams?

Round your answer to the nearest gram.

Tags

CCSS.HSS.ID.A.4

Tags

CCSS.HSS.ID.A.4

Carver has a batting average of 0.385. What is the probability that he has exactly 6 hits in his next 9 at bats?

Round your answer to four decimal places.

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

P(-2.6 < z < -1.5) =

Round your answer to three decimal places.

Tags

CCSS.HSS.ID.A.4