Answer:
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)

c) P(6 ≤ X ≤ 10) = 0.2737
d) μ = 15*0.75 = 11.25. σ² = 11.25*0.25 = 2.8125
Step-by-step explanation:
X is a binomial random variable with parameters n = 15, p = 0.75. Therefore
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)
P(X>10) = P(X=11) + P(X=12)+ P(X=13)+P(X=14)+P(x=15)





Thus,

c) P(6 ≤ X ≤ 10) = P(X = 6) + P(X = 7) + P(X = 8) + P(X=9) + P(X=10)





Thereofre,

d) μ = n*p = 15*0.75 = 11.25
σ² = np(1-p) = 11.25*0.25 = 2.8125
Solution:
<u>Note that:</u>
<u>Let's substitute x as 2 to find out y.</u>
- y = 8x
- => y = 8(2)
- => y = 16
<u>Let's substitute x as 4 to find out y.</u>
- y = 8x
- => y = 8(4)
- => y = 32
<u>Final answer:</u>
- When x = 2, y = 16
- When x = 4, y = 32
Option B is correct.
Answer:
2
Step-by-step explanation:
a) Calculate the probability that she
b) Work out the probability that she
gets an even number and a tail.
a)
Probability is
Y=-7x-5
9=-7(-2)-5
9=14-5
9=9
Please mark the brainliest, if you think i helped!
Answer:
Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.