One half of a number (use x) is equal to 8 less than the same number
1 answer:
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Answer:
(a) The distribution of the sample proportion is Normal distribution.
(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.
Step-by-step explanation:
We are given that in the United States, 35% of households own a 4K television.
Suppose we take a random sample of 150 households.
<em>Let </em><em> = sample proportion of households who own a 4K television.</em>
The z-score probability distribution for sample proportion is given by;
Z = ~ N(0,1)
where, = sample proportion
p = population proportion of households own a 4K television = 35%
n = sample of households = 150
(a) The distribution of the sample proportion is related to the Normal distribution.
(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( > 0.50)
P( > 0.50) = P(
>
) = P(Z > 3.67) = 1 - P(Z
3.67)
= 1 - 0.99988 = 0.00012
<em>Now, in the z table the P(Z </em><em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.</em>
Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.
Answer:
Step-by-step explanation:
Given that four people are on the team. Members will be chosen randomly to serve as chairperson, treasurer, secretary, or timekeeper
Since one person cannot serve two posts we have total number of ways
= 4(3)(2)(1) = 24
If Noor is chair person and Qu treasurer then remaining 2 can take two posts in 2 different ways
So probability that Noor is selected to be chairperson and Qu is selected to be treasurer
=favourable outcomes/total outcomes
=