Time Remaining 0109 06 Submit Quiz This Question 1 pt 15 of

Time Remaining: 01:09 06 Submit Quiz This Question: 1 pt 15 of 15 (3 complete) This Quiz: 15 pts p Question Help Determine whether the distribution is a discrete probability distribution. 100 200 300 400 500 P(x) 0.53 0.11 0.13 0.1 0.13 Is the distribution a discrete probability distribution? O A. No, because the sum of the probabilties is not equal to 1 Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive. No, because each probability is not between 0 and 1, inclusive. B. C. O D. Yes, because the sum of the probabilities is equal to 1 Click to select your answer 11:59pm

Solution

Q1.

Sum P(X) = 0.53+0.11+0.13+0.1+0.13 = 1

B. The sume of the probability is equal to 1 & each of the probability is between 0 and 1

Q2.

Binomial Distribution

PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial

P( X = 2 ) = ( 20 2 ) * ( 0.05^2) * ( 1 - 0.05 )^18
= 0.1887