The 12 Days of Statistics
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The 12 Days of Statistics
On the first day of Christmas, my true love gave to me: A Partridge in a Pear Tree
If the probability of getting a partridge is 0.58 and the probability of getting a pear tree is 0.76, and these are independent events, find the probability of getting a partridge and a pear tree.
On the second day of Christmas, my true love gave to me: Two Turtle Doves
If the probability of a female turtledove is 0.53, find the probability of at least one female turtledove in the pair.
On the third day of Christmas, my true love gave to me: Three French Hens
If the probability of a hen truly having French citizenship is 0.81, find the probability of exactly two French hens out of the three.
On the fourth day of Christmas, my true love gave to me: Four Calling Birds
If the probability of a bird actually calling is 0.63, find the probability of finding the first calling bird on the third attempt.
On the fifth day of Christmas, my true love gave to me: Five Golden Rings
If the probability of getting a real golden ring is 0.72, find the probability of getting three or fewer golden rings in the five.
On the sixth day of Christmas, my true love gave to me: Six Geese A-laying
If the probability of getting an authentic laying goose is 0.83, find the probability of getting a laying goose on or before the fourth trial.
On the seventh day of Christmas, my true love gave to me: Seven Swans A-swimming
If the probability that a swan drowns is 0.23, find the probability that exactly 4 out of the 7 swans drown.
On the eighth day of Christmas, my true love gave to me: Eight Maids A-milking
If the probability of getting a sour maid A-milking is 0.38, find the expected number of sour maids A-milking.
On the ninth day of Christmas, my true love gave to me: Nine Ladies Dancing
If the probability of a dancing lady accepting an invitation to dance is 0.18, what is the expected number of ladies you would have to ask, before one accepts?
On the tenth day of Christmas, my true love gave to me: Ten Lords A-leaping
If the probability of a lame leaping lord is 0.24, find the probability of getting your first lame leaping lord after the sixth attempt.
On the eleventh day of Christmas, my true love gave to me: Eleven Pipers Piping
If the probability of frozen pipes is 0.63, find the probability of 8 or more frozen pipes.
On the twelfth day of Christmas, my true love gave to me: Twelve Drummers Drumming
If the probability of a drummer drumming is 0.48, find the standard deviation of the drummers drumming.
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Solution Summary
Step by step calculations are shown. TI-84 calculator work is shown for appropriate problems.
Solution Preview
1.
Since the 2 events are independent events, multiply the two given probabilities together.
0.58 * 0.76 = 0.441
2.
P(female turtledove) = 0.53
P(male turtledove) = 1 - 0.53 = 0.47
P(at least one female in the pair) = 1 - P(no females in the pair)
= 1 - P(both turtledoves are males)
= 1 - (0.47)^2
= 0.779
3.
On a TI-84 calculator,
Press 2nd
Press VARS
Scroll to binompdf
Press ENTER
n = 3
p = 0.81
x = 2
Press ENTER
Answer: binompdf(3,0.81,2) = 0.374
4.
P(a bird not calling) = 1 - 0.63 = 0.37
The first calling bird on the ...
Education
- MSc, California State Polytechnic University, Pomona
- MBA, University of California, Riverside
- BSc, California State Polytechnic University, Pomona
- BSc, California State Polytechnic University, Pomona
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