The population average annual salary for high school teachers in Alhambra is $61,244. A random sample of 31 teachers from Alhambra is selected from this population. What is the probability that the average annual salary of the sample is less than $62500.  Assume that the population standard deviation is $4050. Leave your answer in 3 decimal places.

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal? Do not write probability in terms of percentage. Round your answer to two decimal places.

Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ between 82 and 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 82 and 118 is (Type an integer or decimal rounded to four decimal places as needed.)

The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.

The life of lightbulbs is distributed normally. The standard deviation of the lifetime is 20 hours and the mean lifetime of a bulb is 600 hours. Find the probability of a bulb lasting for at most 640 hours. Round your answer to four decimal places

Trucks in a delivery fleet travel a mean of 8080 miles per day with a standard deviation of 3030 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 5252 miles in a day. Round your answer to four decimal places.

Assume that adults have IQ scores that are normaly distributed with a mean of u= 100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 121. Click to view.page 1 of the fable. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 121 is (Type an integer or decimal rounded to four decimal piaces as needed.)

Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.

The probability that a randomly selected adult has an IQ between 85 and 115 is ___(type an integer or decimal rounded to four decimal places as needed ).

Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ between 84 and 116. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 84 and 116 is (Type an integer or decimal rounded to four decimal places as needed.)