1) Hourly wages at the amusement park are normally distributed with a mean of $8.55 per hour and a standard deviation of $0.45. If an employee is selected at random, what is the probability that the worker earns less than $7.75 per hour?

2) The number of years at a bank is normally distributed with a mean of 10.5 years and a standard deviation of 4.6 years. If an employee is selected at random, what is the probability that the employee has worked for the company for more than 9 years?

3) The price of breakfast is normally distributed with a mean of $5.85 and a standard deviation of $0.35. If a meal is selected at random, what is the probability that its price is between $5.90 and $6.10?

4) A school accepts the top 10% of the applicants based on the entrance exam. The scores are normally distributed with a mean of 88 and a standard deviation of 3. What is the cutoff score to be admitted to the school?

5) The price of tickets at a theater is normally distributed with a mean of $75 and a standard deviation of $5.25. What are the minimum and maximum prices in the middle 75% range?

6) A study shows that the mean number of hours children watch television each day is 4 hours with a standard deviation of 1.8 hours. If the number of hours is normally distributed, what is the probability that the mean time spent by a randomly selected group of 81 children watching TV each day is under 5.5 hours?

Feel free to use this website to help you compute your answers:

www.davidmlane.com/hyperstat/z_table.html.

Solution Summary

Standard deviation and probability are investigated in the solution.

... of pairs (7) and you get the standard deviation! ... sum of (probability-mean probability) squared / number of ... you how to calculate means and standard deviations. ...

... range of possible outcomes and probabilities: 10% probability of a ... the variance of the probability distribution; (c) Calculate the standard deviation of the ...

Probabilities: Mean, Normal Distribution and Standard Deviation. ... 76 mm Hg and standard deviation ? ... a) What is the probability that a randomly selected woman has ...

Standard deviation and probabilities. ... normally distributed with mean u=15 and standard deviation 0=3 ... The probability that less than 160 will attend college is. ...

... Use the Poisson distribution to find the indicated probabilities. ... selected day, find the probability that the ... of 92.67 inches and a standard deviation of 1.79 ...

... Answer: Standard deviation= 0.1012. Now that you have calculated the standard deviations of A and ... Condition Probability of condition Return on security A Return ...

... Normal Probabilities. Common Data Mean 0.8 Standard Deviation 0.2. Probability for X <= X Value 1 Z Value 1 P(X<=1) 0.841344746 Distribution Plot Normal, Mean=0 ...

... what are the expected return and the standard deviation for Kate's ... than one asset: Given the returns and probabilities for the ...Probability Return(A) Return(B). ...

... the expected return, variance, standard deviation and the ... Portfolio Returns and Deviations Consider the following ... stocks: State of Economy Probability of State ...