Exam 6: The Normal Distribution and Other Continuous Distributions

To determine the probability of getting more than 3 successes in a binomial distribution,you will find the area under the normal curve for X = 3.5 and above.

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. -So,17% of the products would be assembled within _________ minutes.

The value of the cumulative standardised normal distribution at Z is 0.8770.The value of Z is

Instruction 6.5 The city manager of a large city believes that the number of reported accidents on any weekend has a normal distribution. She takes a sample of nine weekends and determines the number of reported accidents during each. The ordered array for this data is: 15, 46, 53, 54, 55, 76, 82, 256, 407. -Referring to Instruction 6.5,the fifth standard normal quantile is_______

The amount of pyridoxine (in grams)in a multiple vitamin is normally distributed with μ = 110 grams and σ = 25 grams.Approximately 83% of the vitamins will have at least how many grams of pyridoxine?

The amount of pyridoxine (in grams)in a multiple vitamin is normally distributed with $\mu$ = 110 grams and $\sigma$ 25 grams. -What is the probability that a randomly selected vitamin will contain between 82 and 100 grams of pyridoxine?

The amount of pyridoxine (in grams)in a multiple vitamin is normally distributed with $\mu$ = 110 grams and $\sigma$ 25 grams. -What is the probability that a randomly selected vitamin will contain between 100 and 120 grams of pyridoxine?

The probability that a standard normal variable Z is positive is_________.

Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2,find the probability that X is between 47 and 54.

Instruction 6.2 John has two jobs. For daytime work at a jewellery store he is paid $15,000 per month, plus a commission. His monthly commission is normally distributed with mean $10,000 and standard deviation $2,000. At night he works as a waiter, for which his monthly income is normally distributed with mean $1,000 and standard deviation $300. John's income levels from these two sources are independent of each other. -Referring to Instruction 6.2,the probability is 0.45 that John's income as a waiter is more than how much in a given month?