4 3/4 divided by 5/8 equals 19/4 divided by 5/8 equals 19•8/4•5 equals 152/20 equals 7 3/5
NEED HELP ASAP!!!!!!
2 answers:
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Answer:
0.7
Step-by-step explanation:
The Probability of Chips in Urn 1
P(R) = 3/4
P(W) = 1/4
The Probability of Chips in Urn 2
P(R) = 1/2
P(W) = 1/2
The problem can be solved using probability tree method. The probability tree of the given question is attached with the answer.
The Probability tree shows the exchange of chips firstly and then the final probability of Red Chips and White Chips in Urn 1.
To find the final answer we can sum up the probabilities of the branches which are ticked in the diagram.
Probability of Branch 1 (ticked in diagram)
3/4 x 3/5 x 3/4 = 0.3375
Probability of Branch 2 (ticked in diagram)
3/4 x 2/5 x 2/4 = 0.15
Probability of Branch 3 (ticked in diagram)
1/4 x 2/5 x 1 = 0.1
Probability of Branch 4 (ticked in diagram)
1/4 x 3/5 x 3/4 = 0.1125
Final Probability = 0.3375 + 0.15 + 0.1 + 0.1125
= 0.7 Answer
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.