Matthew goes hiking every 12 days and swimming every 6 days. He did both
1 answer:
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Answer:
P(X≤5)=0.5357
Step-by-step explanation:
Using the binomial model, the probability that x adults from the sample, are pessimistic about the future is calculated as:
Where n is the size of the sample and p is the probability that an adult is pessimistic about the future of marriage and family. So, replacing n by 20 and p by 0.27, we get:
Now, 25% of 20 people is equal to 5 people, so the probability that, in a sample of 20 American adults, 25% or fewer of the people are pessimistic about the future of marriage and family is equal to calculated the probability that in the sample of 20 adults, 5 people of fewer are pessimistic about the future of marriage and family.
Then, that probability is calculated as:
P(X≤5)= P(1) + P(2) + P(3) + P(4) + P(5)
Where:
Finally, P(X≤5) is equal to:
P(X≤5) = 0.0018+0.0137 + 0.0480 + 0.1065 + 0.1675 + 0.1982
P(X≤5) = 0.5357
Answer: (a) 4
(b) 5
(c) 14
(d)
Class interval Class mark
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
Step-by-step explanation:
The data of 40 persons is given as :
Weights (in kg) Frequency
30 - 35 6
35 - 40 13
40 - 45 14
45 - 50 4
50 - 55 3
(a)
<em>Lower limit is the lowest number in a class interval .</em>
So, is the lower limit of fourth-class interval (45 - 50) is 4.
(b)
<em>Class size = Upper limit - lower limit </em>
So, Class size of first class interval = 35-30=5
Thus , class size of each interval is 5. [ class size remains same]
(c)
Highest frequency in table = 14 which is corresponding to 40 - 45 .
Thus , 40 - 45 is the class interval has the highest frequency.
(d)
<em>Class mark is the mid value of each class interval.</em>
<em>Class interval = </em>
Class interval Class mark
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55