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The Average salary for all US teachers is 47,750. Assume that the distribution is normal and the standard deviation is 5680. Find the probability that a randomly selected teacher earns a. Between $35,000 and $45,000 a year b. more than $40,000 a year



Answer :

sqdancefan

Answer:

  a) 0.3017

  b) 0.9138

Step-by-step explanation:

Given a normal salary distribution with mean $47,750 and standard deviation $5,680, you want the probabilities that a randomly selected salary is ...

  • between $35,000 and $45,000
  • more than $40,000.

Calculator

A suitable calculator tells us these probabilities are ...

  a) P(35k < X < 45k) ≈ 0.3017

  b) P(40k < X) ≈ 0.9138

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