Amy rolls 17 10-sided dice. What is the probability that at least 1 of the rolls are 2s? Solution: Let X be the number of 2s rolled. X is Binomial(17,1/10). P(X ≥ 1) = 1 − P(X < 1) 0.8332 Amy rolls 18 5-sided dice. What is the probability that at most 2 of the rolls are 2s? Solution: Let X be the number of 2s rolled. X is Binomial(18,1/5). 0.2713.

Q: Q5- The weekly average number of airplane crashes is 3. Whatis the probability that there will be…

A:

Q: A binomial experiment is one that has these five characteristics: 1. The experiment consists of n…

A: Using the provided characteristics, the random variable is to be validated, whether it satisfies a…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A:

Q: (iv). Find the probability that the sum is more than 12 (v). Find the probability that the sum is…

A:

Q: In a sample of 24 cats from a population with a probability of 0.11 of having a coat of fur with…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: Suppose we have a binomial experiment in which success is defined to be a particular quality or…

A: It is given that n is 41 and p is 0.33.

Q: A shooter has 4 bullets. He shoots at the target until he hits it for the first time . And stop…

A: Given that, a shooter has 4 bullets. He shoots at the target until he hits it for the first time and…

Q: Which Property is shown? (x + y) x (5) = (5 x +5 y) Select one: a. distributive Property b.…

A: Identify property: For a real number a the identify property is defined as a + 0 = a and a × 1 = a.

Q: The unemployment rate in a city is 12%. If 6 people from the city are sampled at random, find the…

A: p(unemployed) = p = 0.12n = 6p(x≤2) = ?

Q: Show the calculation to find the μ and σ of a binomial variable with a total number of attempts of…

A: We have to calculate mean and standard deviation of binomial distribution for given different values…

Q: The odds in favor of X winning a game of chess against Bare 4 to 5. If five games are to be played,…

A: If the odds in favour of X winning a game against Y is x to y , then, 1 . probability of X winning a…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A:

Q: ssume that P(A) 0.3, P(ANB)= 0.25, and the probability that neither A nor B occurs is 0.2. What is…

A: Given that  P(A)=0.3,  P(A ∩ B)=0.25 ,  P(neither A nor B)==0.20

Q: Q20. If a number x is chosen at random from the numbers -2,-1,0,1,2. Then, the probability that x²<2…

A:

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: We have given that,  P(B) = 0.56, P(D) = 0.95 and P(B AND D) = 0.39. Then, We will find P(D|B) = ?

Q: Find the probability of success P for a binomial distribution, if n = 6 and 4 P(x-4)= P(x=2)

A:

Q: Suppose X = the number of women in a sample of 20 people who are friends with each other. X is not…

A: One woman might be common friend. Thus independent condition is failed.

Q: The events A and B are independent. P(A)=2x, P(B)=3x, P(AUB)=2/3). Find the value of x.

A: Given Data: P(A)=2x P(B)=3x P(AUB)=2/3 The probability of A intersection B is, PA∩B=PA·PB=2x3x=6x2

Q: Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of…

A: Binomial distribution has used to model the situation.

Q: Compute the probability of X successes using the binomial formula. Round your answers to three…

A: Given data, n=4,  p=0.68,  X=3 P(X=3)=?

Q: A bag contains 9 Blue balls, 5 Red balls, and 7 Green balls. Two balls are going to be drawn from…

A:

Q: You're on our way to earn a degree. In one of your courses, you need to pass an exam once to pass…

A: Let the event for attempts needed be A PA≤6=PA=1+PA=2+PA=3+PA=4+PA=5+PA=6               =728729

Q: The probability that a newborn life (age 0) survives x years is given by: 110 - x xPo 0<xS110 110…

A: Solution: The probability that a newborn life ( age 0) survives x years is  p0x= S(x) = 110-x 110…

Q: Find the probability that z is greater than -1.72

A: Given: Z is standard normal r.v. i.e. Z~N(0,1)

Q: the probability that a missile hit the target is 0.90. If three missile of this type has been fired.…

A: The probability that the missile hits the target is 0.90. The number of missile fired are 3.

Q: A fair coin is tossed 10,000 times. Find a number m such that the chance of the number of heads…

A:

Q: When rolling two fair six-sided dice, getting a pair of 1s is called “snake eyes.” The probability…

A: Binomial distribution is given by

Q: From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A…

A: Solution: From the given information,