The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
<h3>Probability</h3>
a. Distribution
X ~ N (20 , 6)
b. P(x ≤24)
= P[(x - μ ) / σ (24 - 20) / 6]
= P(z ≤0.67)
= 0.74857
=0.7486
Hence:
Probability = 0.7486
c. P(21 < x < 26)
= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]
= P(-0.83 < z < 0.67)
= P(z < 0.67) - P(z < -0.)
= 0.74857- 0.2033
= 0.54527
Hence:
Probability =0.54527
d. Using standard normal table ,
P(Z < z) = 66%
P(Z < 0.50) = 0.66
z = 0.50
Using z-score formula,
x = z× σ + μ
x = 0.50 × 6 + 20 = 23
23 Christmas cards
Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
Learn more about probability here:brainly.com/question/24756209
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The Soluton:
Given:
We are asked to evaluate the given expression.
Explanation:
Since the number you are taking away is greater than thenumber that you want to taake it away from, we have to swap the numbers and then the result will be a negative number.
Therefore, the correct answer is -3.64
Answer:
I see, you have to hhh.
Step-by-step explanation:
Answer:
equation could represent the total cost (y), in dollars, for x teacher ... first 3 days she takes care of a dog and $25 for each day thereafter..... An amusement park has a group rate.
Answer:
three hundred and forty five and sixty five thousandths
Step-by-step explanation:
the 5 is in the thousandths place so the whole decimal number ends with thousandths
