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.
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Answer:
111
Step-by-step explanation:
Answer:
option c in both cases
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁ )
where m is the slope and (x₁, y₁ ) a point on the line
(1)
Here m = 2 and (x₁, y₁ ) = (- 3, - 5) , then
y - (- 5) = 2(x - (- 3) ) , that is
y + 5 = 2(x + 3)
(2)
Here m = 4 and (x₁, y₁ ) = (- 6, - 3) , then
y - (- 3) = 4(x - (- 6) ) , that is
y + 3 = 4(x + 6)
Answer:
$38.3
Step-by-step explanation:
Baseball = $7.2
Basketball = $45.5
45.5-7.2 = 38.3
