1. find the probability to the left of z=-2.23 or to the right of z=1.23
2. the number of bases for a baseball player hitter is given here:
number of bases Probability
number of bases=0, probability=.718
number of bases=1 P=.174
bases=2 P=.065
bases=3 P=.004
bases=4 P=.039
2a. find the probability of a hitter getting a double.
2b. find the probability of a hitter getting a double or triple.
8. is this a valid distribution in problem 6? why or why not?
9. find the mean in the table from problem 6.
1)
excel formula for probability from z score is
=NORMSDIST(Z)
=P(Z ≤ -2.230 ) =
0.0128737
= P(Z ≥ 1.230 ) = P( Z <
-1.230 ) =
0.1093
2)
a)
P (x=2) = 0.065
b)
P (x=2) + P (x=3) = 0.065 +0.004 = 0.069
8)
Distribution is valid as total probability is one.
9)
X | P(X) | X*P(X) |
0 | 0.7180 | 0.000 |
1 | 0.1740 | 0.174 |
2 | 0.0650 | 0.130 |
3 | 0.0040 | 0.012 |
4 | 0.0390 | 0.156 |
P(X) | X*P(X) | |
total sum = | 1 | 0.472 |
mean = E[X] = Σx*P(X) = 0.4720
Please revert back in case of any doubt.
Please upvote. Thanks in advance.
1. find the probability to the left of z=-2.23 or to the right of z=1.23 2....
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