Suppose that a density function is given by the formula if 0

Q: Assume that the probability of a boy being born is the same as the probability of a girl being born.…

A: given data  P(boy)=P(girl) = 0.5 n = 5 childrens  P( atleast one boy) = ?

Q: The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are not…

A: Given The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are…

Q: Roll a die 3 times. Find the probability of getting at least one 6.

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Q: When rolling a number cube 800 times what is the probability that a 2 or 5 would be rolled

A: Total Number of faces = 6 P(2) =1/6 P(5)= 1/6 Now, Probability of 2 or 5 is: P(2∪5)=P(2)+P(5)-P(2∩5)…

Q: Suppose you roll a red die where each face represents a number from 1 to 6. Determine the…

A: When a die is rolled n(S)=6 S={1,2,3,4,5,6}

Q: A quiz consists of 2 true-false questions and 4 multiple-choice questions (each with 4 choices with…

A: Given data Quiz consists of 2 true-false questions 4 multiple-choice questions Total question = 2+4…

Q: Suppose a jar contains 12 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

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Q: Assume that male and female births are equally likely and that the birth of any child does not…

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Q: The probability that it will rain in a city is 0.1. Find the probability that it will rain on two…

A: Given that the probability that it will rain in a city is 0.1. Two consecutive days are independent…

Q: There are 6 male students and 21 female students in a class. If you choose 2 students at random,…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

A: Probability = Number of Possible outcomes/Total outcomes

Q: Two cards are selected from a standard deck with replacement. Find the probability that they are…

A: Given that Total cards=52 Number of hearts cards=13 p=Number of hearts cards/Total cards…

Q: In a box there are 4 red, 4 blue and 3 white marbles. Two marbles are selected at random and the…

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Q: Find the probability that on 8 attempts, he will miss at least one

A: Given that p=75%=0.75, q=1-p=1-0.75=0.25, n=8 p be the probability of basketball player making a…

Q: you are dealt two cards successively (withouth replacement) from a shuffled deck of 52 playing…

A: From the given information we want to find the probability of first card is King and second card is…

Q: Find the probability of 3 coins showing all heads when tossed simultaneously.

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Q: A bag contains 3 pink gumballs, 4 red gumballs, and 2 green gumballs. Find the probability that a…

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Q: Find the probability that a child flipping an old coin gets the second head on the 6th flip.

A: Consider that tossing coin is a trials . which are independent .  Let's take it as a success  if a…

Q: Cai tosses four coins. Determine the probability that they are all tails

A: When a fair coin is tossed the probability of getting heads is 1/2 and probability of getting tails…

Q: Suppose a jar contains 5 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the…

A: Given that, Number of red marbles = 5Number of blue marbles =40Total number of marbles = 45

Q: Can the value 2 be a probability?

A: Valid conditions for probability: The probability is non-negative. That is, the probability is…

Q: A bag contains 20 white marbles, 6 red marbles, 11 blue marbles, and 8 yellow marbles. If a marble…

A: White marbles = 20 Red marbles = 6 Blue marbles = 11 Yellow marbles = 8 Total marbles = 20 + 6 +11 +…

Q: In a class, the probability that a student owns a laptop is 0.2. Find the probability that the 5th…

A: We will consider the case of having a laptop as a success.  Probability of success=  0.2 (given) So…

Q: A bag contains 2 cherry, 3 lemon, 4 grape, and 5 watermelon candies. You reach in and grab a handful…

A: Total number of cherries = 2 The probability of getting a cherry = 2/14 = 0.1429 n = 3

Q: Roll a die 3 times. Find the probability of getting at least one 6.

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Q: Determine the probability that 31​, 32​, 33​, 34​, or 35 flights will arrive on time

A: We have given that Sample size, n = 39 Probability of success, p = 0.819

Q: Two dice are thrown together.What is the probability that the sum of the number on the two faces is…

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Q: The probability that a salmon swims successfully through a dam is 0.85. Find the probability that…

A: From the provided information, Probability that a salmon swims successfully through a dam is 0.85.…

Q: An average number of phone calls to the station is 1 for 12 minutes. Find the probability that…

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Q: The probability that entering college students will graduate is 0.40. Determine the probability that…

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Q: Suppose a jar contains 8 red marbles and 23 blue marbles. If you reach in the jar and pull out 2…

A: Given that, A jar contains 8 red marbles and 23 blue marbles. Total number of marbles = 8+23 = 31…

Q: There are 6 male students and 17 female students in a class. If you choose 2 students at random,…

A: Solution: From the given information, there are 6 male students and 17 female students. Total number…

Q: Find the probability of purchasing a ticket with a number whose sums of the first three and last…

A:

Q: A group of people were asked if they had run a red light in the last year. 273 responded "yes", and…

A: Here, n = 273+289 = 562 x = number of 'yes' responses = 273