Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
Answer:
True
Step-by-step explanation:
brainliest plzzzz
Answer:
the answer would be B the answer would be B
Answer:
20 is the father's 20 is the son
Step-by-step explanation:
20+20=40
40/2=20
40-20=20
another way:
20:n= 40
40-20=20
20:20=40
Using the given table, it is found that the mean number of children per household for these families is of 2.33.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
Researching the problem on the internet, the table states that:
- 2 households have 4 children.
- 16 households have 2 children.
- 13 households have 3 children.
- 5 households have 1 children.
The total number of children is given by:
T = 2 x 4 + 16 x 2 + 13 x 3 + 5 x 1 = 84
Hence the mean number of children for the 36 households is given by:
M = 84/36 = 2.33.
More can be learned about the mean of a data-set at brainly.com/question/24628525
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