A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than 78. A) 0.0103 B) 0.0008 C) 0.8962 D) 0.0036

The correct answer is b that is the probability that the mean of their test scores is greater than 78 is 0.0008.

What is Probability?

The field of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event‘s probability is a number that lies between 0 and 1, where, roughly speaking, 0 denotes the event’s impossibility and 1 denotes certainty. The probability is calculated on dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas where odds are calculated by dividing the likelihood of an event by the likelihood that it won’t.

mean, μ = 73 standard deviation σ =7.8

η = 24

P (X*=78)

P( Z>3.1403)

Hence, the probability that the mean of their test scores is greater than 78 is 0.0008.

To know more about ‘probability’ related questions

that is thebprobabilitythat themeanof theirtest scoresis greater than 78 is 0.0008.## What is Probability?

mathematicsknown as probability deals with numerical representations of the likelihood that aneventwill occur or that a statement is true. Anevent‘s probability is a number that lies between 0 and 1, where, roughly speaking, 0 denotes the event’simpossibilityand 1 denotescertainty. The probability is calculated on dividing the total number ofpossible outcomesby the number ofpossible waysthe event could occur. Probability and odds are two distinct ideas where odds are calculated by dividing thelikelihoodof an event by the likelihood that it won’t.standard deviation σ =7.8

probabilitythat themeanof theirtest scoresis greater than 78 is 0.0008.probability’related questions