Complete question :
a. Is this probability distribution valid? Yes b. What is the probability Spectrum will obtain more than 400,000 new subscribers? (to 2 decimals) c. What is the probability Spectrum will obtain fewer than 200,000 new subscribers? (to 2 decimals)
Answer:
Yes ; 0.19 ; 0.08
Step-by-step explanation:
Given the data:
__X_______p(X)
100,000___ 0.08
200,000__ 0.20
300,000__ 0.24
400,000__ 0.29
500,000___ 0.11
600,000___0.08
a. Is this probability distribution valid?
To determine validity of the distribution :
ΣP(X) must be equal to 1
(0.08 + 0.20 + 0.24 + 0.29 + 0.11 + 0.08) = 1
Hence, the distribution is valid.
What is the probability Spectrum will obtain more than 400,000 new subscribers
Probability of obtaining more than 400,000 new subscribers :
P > 400,000 = P(500,000) + P(600,000)
= 0.11 + 0.08 = 0.19
C.) What is the probability Spectrum will obtain fewer than 200,000 new subscribers?
P < 200,000 = P(100,000)
= 0.08
