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

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

?P(49

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

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

The probability is 25?% that a student taking the test scores higher than? ?(Round to the nearest integer as? needed.)

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 board? directors?

The probability is?

?(Round to four decimal places as? needed.)

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