Given a normal distribution with =50 and =5, and given you select a sample n=100

What is the probability that Upper x is between 49 and 51.5?

P(49<x<51.5)=

(integer or decimal rounded to four decimal places asneeded.)

A set of final examination grades in an introductory statistics course is normallydistributed, with a mean of 72 and a standard deviation of 9

The probability is 25% that a student taking the test scores higher than whatgrade?

The probability is 25% that a student taking the test scores higher than ?

.

(Round to the nearest integer asneeded.)

A study reports that 36% of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents.

What is the probability that the sample will have between 27% and 40% of companies in Country A that have three or more female boarddirectors?

The probability is ?

(Round to four decimal places asneeded.)