kobiemajak
27.05.2020 •
Mathematics
A nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220. Furthermore, the data appears to be normally distributed! Using this information, determine the probability that a group of 4 Americans watch MORE THAN 400 hours of television per year. SHOW ALL WORK.
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Ответ:
Probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.
Step-by-step explanation:
We are given that a nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220.
A group of 4 Americans is selected.
Let = sample mean number of hours of television watched per year
The z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean = 350
= standard deviation = 220
n = sample of Americans = 4
Now, the probability that a group of 4 Americans watch more than 400 hours of television per year is given by = P( > 400 hours)
P( > 400) = P( > ) = P(Z > 0.45) = 1 - P(Z 0.45)
= 1 - 0.6736 = 0.3264
The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.
Hence, the probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.
Ответ:
1
Step-by-step explanation:
Given:
Geraldo current age = 25years.
Policy being considered for = 30years
Age at the end of the policy = 55years
What is the probability that Geraldo lives to be 55years.
Therefore
P ( A + B ) = 25 /55 + 30 / 55
= 5 / 11 + 6 / 11
= 11 / 11
= 1