Find the probability that in 5 tossings, a perfect coin turns up head at least 3 times in succession?

Q: Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or…

A: Given,n=5p=0.52Let X=no.of adults use their smartphonesin meetings or classes.X~Binomial(n=5 ,…

Q: Assume that when adults with smartphones are randomly​ selected,45​%use them in meetings or classes.…

A: Obtain the probability that exactly 3 of them use their smart phones in meetings or classes. The…

Q: 1. From a box containing five black balls and three green balls, three balls are drawn in…

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Q: Assume that when human resource managers are randomly​ selected, 57​% say job applicants should…

A: Givenp=0.57n=20x~Binomial(n=20,p=0.57)P(X=x)=(nx)×px×(1-p)n-x  ; x=0,1,...,n

Q: Assume that when adults with smartphones are randomly​ selected, 54​% use them in meetings or…

A: Given,n=8p=0.54X~binomial(n=8 , p=0.54)P(X=x)=cxn px (1-p)n-x ; x=0,1,2,3......n

Q: Consider n ≥1 flips of a fair coin. What is the probability that the number of heads in the sequence…

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Q: Assume that when adults with smartphones are randomly​ selected, 53​% use them in meetings or…

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Q: An urn contains N white and M red balls. Balls are randomly selected, one at a time, until two red…

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Q: Assume that when human resource managers are randomly​ selected, ​41% say job applicants should…

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Q: If you toss a regular six-sided die n times, what is the probability that you will get at least one…

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Q: Based on a​ poll, 40​% of adults believe in reincarnation. Assume that 5 adults are randomly​…

A: Given that :  40​% of adults believe in reincarnation. i.e. p = 40% = 0.40 Sample size (n)  X…

Q: From a well shuffled pack of 52 playing cards, 2 cards are drawn in a succession with out…

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Q: Find the probability of obtaining two heads in the toss of two unbiased coins when (a) at least one…

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Q: In a particular lottery, the players must choose any 6 numbers from 1 to 49 with no repeats. How…

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Q: In a class of 50 students, what's the probability that there are at least two students sharing the…

A: In a class of 50 students, we need to find the probability that there are at least two students…

Q: Assume that when adults with smartphones are randomly selected,49% use them in meetings or classes.…

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Q: find the probability that exactly 2 of them say job applicants should follow up within two weeks.

A: Let p be the probability that human resource managers say job applicants should follow up within two…

Q: Based on a poll, 60% of adults believe in reincarnation. Assume that 8 adults are randomly selected,…

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Q: Assume that when adults with smartphones are randomly​ selected, 46% use them in meetings or…

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Q: Assume that when adults with smartphones are randomly​ selected, 48​% use them in meetings or…

A: Given data, p=48%=0.48 n=7 P(X=4)=?

Q: according to a recent survey 85% of voters are in favor of moving election day from the tuesday…

A: Binomial distribution:A random variable is said to follow binomial distribution if it satisfies the…

Q: From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each  ball…

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Q: A fair coin is flipped six times. What is the probability that tails occurs exactly 6 times if it is…

A: Conditional rule:The formula for probability of A given B is,

Q: What is the probability of obtaining exactly three tails in four flips of a coin, given that at…

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Q: A fair coin is flipped six times. What is the probability that heads occurs exactly 5 times if it is…

A: Here, fair coin is flipped. hence, p=0.5 and q=0.5.The probability that heads occurs exactly 5 times…

Q: Find the probability that in tossing a fair coin three times, there will appear not more than 1…

A: Let p be the probability of getting a tail in one toss, then p = 0.5 (Since coin is fair) Let X…

Q: Assume that when adults with smart phones are randomly selected 56% of them use them in meetings or…

A: Here we need to find the required probability using the binomial distribution.

Q: Suppose that a person rolls two balanced dice three times in succession. Determine the probability…

A: Here Given two balanced die are rolled  so Probability of each outcome is  same And each is rolled…

Q: A fair coin is flipped three times. What is the probability that at least two consecutive heads…

A: Coin is tossed 3 times

Q: If a fair coin is successively tossed, find the probability that the first head appears on the fifth…

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Q: From a box containing five black balls and three green balls, three balls are drawn in succession,…

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Q: 3. A professor of a law school observe that 25% of students who get admitted to the freshman class…

A: Given that a professor of a law school observe that 25% of students who get admitted to the freshman…

Q: A class has exactly 5 students. What is the probability that exact 3 of those studnets were born on…

A: We have to find given probability.

Q: Assume that when adults with smartphones are randomly​ selected, 58​% use them in meetings or…

A: Given, Assume that when adults with smartphones are randomly​ selected, 58​% use them in meetings or…

Q: In a group of 8 people, what is the probability that they all have different birthdays? [Assume that…

A: The total number of days is 365.

Q: Assume that "n" persons are seated on n chairs at a round table. Find the probability that two…

A: It is given that Number of individuals to sit at a round table = n Then total number of ways in…

Q: Find the probability of a 4 turning up at least once in two tosses of a fair die.

A: The probability outcomes of two tosses of a fair die is 1st toss  = 1, 2, 3, 4, 5, 6 2nd toss = 1,…

Q: Assume that when adults with smartphones are randomly​ selected, 59% use them in meetings or…

A: From the provided information, 59% of adults use smartphones in meeting or classes that is (p) =…

Q: at in five tosses of a fair die, a 3 will appear at least

A: a) Given: n = 5 The sample space of a die is 1,2, 3, 4, 5, 6 i.e. there are 6 total outcomes.    p =…

Q: What is the probability of getting exactly four 2s in casting a die 7 times?

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Q: Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or…

A: Given, out of randomly selected adults with smartphones, 52% use them in meetings or classes. So, X…

Q: In a certain shipment of 1000 laptops, 20 are defective. If a customer purchases the first 4 laptops…

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Q: Assume that when adults with smartphones are randomly​ selected, 51​% use them in meetings or…

A: From the given information p = 0.51, x= 2 and n = 5. The probability mass function of the binomial…

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes.…

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Q: . Suppose an ordinary six-sided die is rolled repeatedly and the outcome is noted on each roll. What…

A: Given :  X is a random variable shows the number of trials until third 6 occur.

Q: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

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Q: Assume that when adults with smartphones are randomly selected, 62% use them in meetings or classes.…

A: The formula for binomial distribution is nxpx(1-p)n-x Given information is: p=0.62 n=5 x=3

Q: Assume that when adults with smartphones are randomly​ selected, 46​% use them in meetings or…

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Q: 10% are born as left handed. Calculate the probability that in a batch of 150 students, there are…

A: Given n=150 p=0.10