Let X be a geometric random variable. If p = 0.3, then what is the probability that X is odd but not a multiple of 9?

Q: Two six-sided fair dice are rolled.   The probability that at least one number is odd and the sum of…

A: Given: The two six-sided fair dice are rolled then we get total of 36 order pairs. The probability…

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

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Q: Patients arrive at a hospital Accident and Emergency department at random at a rate of 6 per hour.…

A: given data λ = 6 per hourx = no. of patients in t houtP(x=X) = e-λt(λt)xx!

Q: Peter went shopping for dinner. The vendor “accidentally” mixed all the chicken and duck eggs.…

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Q: A hat contains 54 Green slips of paper and 18 Grey slips of paper (and nothing else). Two slips are…

A: Number of green slips = 54 Number of grey slips = 18 Total number of slips = 54+18 = 72   The…

Q: A college professor hands out a list of 10 questions, 5 of which will appear on the final…

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Q: A fair die is tossed and we let X be the upturned face. A fair coin is then tossed X number of…

A: A fair die is tossed and we let X be the upturned face. So, the pmf of X is…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: Total number of slips is 25+29 =54. It is known that hat contains 25 red and 29 yellows slips. The…

Q: Mr. Caywood filled out a bracket for the NCAA National Tournament. Based on his knowledge of college…

A: Here we need to use Binomial distribution A binomial distribution can be thought of as simply the…

Q: The probabilities that teams A, B, and C will win in a basketball game are 1/4, 1/6 and 1/8,…

A: Solution: Given information: The probabilities of team A,B and C will win in a basketball game are…

Q: A poll reported that 62​% of adults were satisfied with the job the major airlines were doing.…

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Q: Three balls are selected at random from a bag containing 2 red, 4 orange and 3 green balls. What is…

A: Given,no.of red balls=2no.of orange balls=4no.of green balls=3Total no.of balls=9

Q: Suppose you have a large bucket of fruit candy, where 20% is orange flavor, 25% is mango flavor, 16%…

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Q: A bag contains 14 red marbles and 9 green marbles. We pick twice at random a marble from the bag…

A: It is given that  Red marbles = 14 Green marbles = 9 Total marbles = 23

Q: 1 The probability of a man hitting a target is How many times must he fire so that the probability…

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Q: Q.22 A box contains 10 screws, 3 of which are defective. TwO screws are drawn at random with…

A: Introduction :

Q: A group of people were asked if life exists elsewhere in the galaxy. 318 responded "yes", and 477…

A: Number of people who responded "yes" = 318Number of people who responded "no" = 477Total number of…

Q: Suppose 1 in 1000 persons has a certain disease. A test detects the disease in 95% of the diseased…

A: Given : P( Disease ) =11000=0.001 P(not  Disease ) =1-P(Disease)=1-0.001=0.999 P( Test…

Q: The probability that a particular type of smoke alarm will function properly and sound an alarm in…

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Q: the transmission of digital information, the probabilities that a bit has high, moderate, and low…

A: Given P(high distortion)=0.01 P(moderate distortion)=0.04 P(low distortion)=0.95

Q: A person draws a card from a hat.  Each card is one color, with the following probabilities:  1/20…

A: The probability of drawn of green card is 1/20. The probability of drawn of blue card is 1/10. The…

Q: Three dice are rolled. Let the random variable a represent the sum of the 3 dice. By assuming that…

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Q: A bag contains 8 red marbles, 7 white marbles, and 7 blue marbles. You draw 3 marbles out at random,…

A: Given, Red marbles = 8                 White marbles = 7             & Blue marbles = 7…

Q: A box of 600 bulbs contains 12 defective bulbs. One bulb is taken out at random from this box. Then…

A: Given,no.of defective bulbs=12no.of non defective bulbs=588total no.of bulbs=600

Q: A poll reported that 63​% of adults were satisfied with the job the major airlines were doing.…

A: It is given that n = 20 and p = 0.63.

Q: The batteries manufacturer by a certain company are tested to see if they last as long as the man…

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Q: A bag contains 8 red marbles, 7 white marbles, and 6 blue marbles. You draw 3 marbles out at random.…

A: a) Given that there are 8 red marbles, 7 white marbles, and 6 blue marbles. So there are total…

Q: Q18. A biased coin is flipped 10 times. In a single flip of the coin, the probability of heads is…

A: given data  P(head) =13  P(tail) = 23 flip coin 10 times.

Q: Suppose that 84% of students in a college have a smartphone. If you select three students at random,…

A: We have given that a Binomial distribution with parameter p=84%=0.84 and sample size n=3. The pmf of…

Q: The probabilities that a textbook page will have 0, 1, 2, 3, or 4 typographical errors are 0.49,…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: In an apartment complex the probability a tenant has a dog is 40% and the probability a tenant has a…

A: Answer :- Given P(D) = 0.40,  P(C) = 0.37 and P(C∩D) = 0.15                Here P(D) = Probability…