According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard deviation of 0.05m inches.

What is the probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days (taken over many years)?

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

Step-by-step explanation:

We are given that according to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches; with a standard deviation of 0.05 inches.

A random sample of 40 November days is taken(taken over many years).

Let = sample mean daily precipitation

The z score probability distribution for sample mean is given by;

                                 Z =  ~ N(0,1)

where, = population mean = 0.10 inches

            = population standard deviation = 0.05 inches

           n = sample of days = 40

Now, the probability that the mean daily precipitation will be 0.09 inches or less is given by = P( 0.09 inches)

 P( 0.09 inches) = P( ) = P(Z -1.265) = 1 - P(Z < 1.265)

                                                                    = 1 - 0.8971 = 0.1029

The above probability is calculated by looking at the value of x = 1.265 from the z table which will lie between x = 1.26 and x = 1.27 which has an area of 0.89617 and 0.89796 respectively.

Hence, the probability that the mean daily precipitation will be 0.09 inches or less for a random sample of 40 November days is 0.103.

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

correct answer:

i^31 = -i