Asked Oct 16, 2019

Scores on a statistics final in a large class were normally distributed with a mean of 70 and a standard deviation of 7. Find the following probabilities, round to the fourth.
a) What is the probability one randomly chosen score is greater than 88

Would it be unusual for this to happen?
Select an answer not unusual unusual  
b) What proportion of scores were below a 45? 
Would it be unusual for this to happen?
Select an answer unusual not unusual  


Expert Answer

Step 1

a) According to the provided information, it is given µ = 70 and σ = 7

The probability that one...


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88-70 X- P(X> 88) P 7 P(Z> 2.57) (Use the standard normal table) =0.0051 Since, probability (0.0051) of getting a score greater than 88 is less than 0.05 level of significance. It can be concluded that getting a score greater than 88 is unusual.


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