For each problem, show the proper work needed for FRQ’s and find the answer. For problems with a *, you must show the mathematical notation also (IE ( 9 3 )(.8)3 (.2)6 ). You do not have to provide context for the answer unless specifically asked. 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 or a pear tree. On the second day of Christmas, my true love gave to me: Two Turtle Doves. Turtle doves come in a pair. If the probability of a female turtle dove is 0.54, find the probability of getting two of the same gender. *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 0.74, 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 before the third attempt. On the fifth day of Christmas, my true love gave to me: Five Golden Rings. If the weight of a golden ring is approximately normal with a mean of 2 oz and standard deviation of 0.3 oz, what is the probability that the sum of five randomly selected golden rings is less than 9 pounds? *On the sixth day of Christmas, my true love gave to me: Six Geese A-laying. If the probability of an authentic laying goose is 0.83, find the probability of first getting a laying goose on or after the fourth trial.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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For each problem, show the proper work needed for FRQ’s and find the answer. For problems with a *, you must show the mathematical notation also (IE ( 9 3 )(.8)3 (.2)6 ). You do not have to provide context for the answer unless specifically asked.

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 or a pear tree.

On the second day of Christmas, my true love gave to me: Two Turtle Doves. Turtle doves come in a pair. If the probability of a female turtle dove is 0.54, find the probability of getting two of the same gender.

*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 0.74, 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 before the third attempt.

On the fifth day of Christmas, my true love gave to me: Five Golden Rings. If the weight of a golden ring is approximately normal with a mean of 2 oz and standard deviation of 0.3 oz, what is the probability that the sum of five randomly selected golden rings is less than 9 pounds?

*On the sixth day of Christmas, my true love gave to me: Six Geese A-laying. If the probability of an authentic laying goose is 0.83, find the probability of first getting a laying goose on or after the fourth trial. On the seventh day of Christmas, my true love gave to me: Seven Swans A-swimming. If the probability of a swan drowning is uniformly distributed for number of years from 0 to 8, find the probability that it drowns before it is 2.5 years old.

On the eighth day of Christmas, my true love gave to me: Eight Maids A-milking. The probability of the quality of milk (scale of 1-4 with four being delicious) is shown: Find the expected value and standard deviation of the quality of milk for one cow.

Quality Scale 1 2 3 4
Probability .3 .5 .15 .05

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 0.22, find and INTERPRET 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 (not being able to leap) leaping lord is 0.24, find the probability of getting your first lame leaping lord before the third 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 out of the eleven.

On the twelfth day of Christmas, my true love gave to me: Twelve Drummers Drumming. If the probability of a dribbling drummer is 0.48, find the standard deviation of the dribbling drummers drumming for twelve drummers drumming. Bonus: What is the sum to all of the answers?

NOTE: only need help with the answers for the first day through the sixth day. 

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