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Math/Statistics

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The mean starting salary for graduates in the spring of 2004 was $36,280. Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300. What percent of the graduates have starting salaries between $35,000 and $40,000?

a. 5225
b. .0041
c. .1251
d. None of the above

  • Math/Statistics - ,

    Copy and paste the question into Google and the answer is there. Looks like it will be d, but check it out yourself

  • Math/Statistics - ,

    Here is the math

    (35,000<X<40,000)=P((35,000-36,280)/3,300<(X-36,280)/3,300<(40,000-36,280)/3,300)=P(-0.3879<Z<1.1273)
    =P(Z<1.1273)-P(Z<-0.3879)=0.8702-0.3491= 0.5211

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