Statistics and Probability | Questions and Answers

Question
Solution
Z value corresponding to 0.85 probability = 1.0364
Let the mean be M
Then , 1.0364 =( 16-M)/2
Solving for M , we get M = 13.93 ounces
Question
Solution
Z value for 0.9 probability = 1.2816
Hence, 1.2816 = (X -1865)/225
Solving the above, we get X = $2,153.35

Solution
Z = (3000-2210)/460 = 1.717
P (Z>1.717) = 1- P (Z<1.717) = 1- 0.957 = 0.043
Answer is 0.043
Question 4
Requisite probability = 0.5661/(0.1504+0.5661) = 0.7901
Question 5
Event C and R are not independent of each other. This is because the
probability of event C is not the same for the two political affiliations
i.e. R and D. If the leader has a R affiliation, then C would have
probability of 0.37 but with D affiliation this probability of C reduces to
0.21. Hence, it is evident P(C) is a function of the political affiliation of
the underlying leader.

Question 6
0.65 is c
0.28 is g
0.20 is a
1 is i
Question
Answer – probability is 0.22
Question 7
Answer is 0.33
Question 8
Answer is 45/365
Question 11
A and B are disjoint