Simplify the expression
2 answers:
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All these can be done without a calculator by taking the factors of ten separately. We count zeros for the exponents.
I'll leave the rest for you or someone else, sorry.
I'll leave the rest for you or someone else, sorry.
Answer:
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).
<u><em>Let </em></u><u><em> = sample mean daily precipitation</em></u>
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 = <u>0.1029</u>
<em>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.</em>
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.