A policeman inspected the safety of tyres on cars passing through a checkpoint. The number of tyres X which needed replacing on each car followed the probability distribution below. x 0 P(X= x) 0.68 a Find the value of k. c Find P(X> 1), and interpret this value. 1 0.2 2 3 0.06 k b Find the mode of the distribution. 4 0.02

Q: For the given probability distribution, find the missing value ?? x p(x) 0 0.03 1 0.34 2 0.27 3 ??

A: x p(x) 0 0.03 1 0.34 2 0.27 3 ? Conditions for the discrete probability distribution:…

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A: P(Z<-1.5)=?

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Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: f(x,y)   y=1   y=2    y=3   Total    x=1    0.1 0.05 0.02 0.17      x=2    0.1 0.35…

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A: Given that X follows a normal distribution with mean=3 and variance=4. So standard deviation=4=2We…

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Q: Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.8, P(A n B) =…

A: It is given that PA=0.1, PB=0.8 and PA∩B=0.05.

Q: The random variable Y have a geometric distribution with a mean of 5.The probability that P(Y=4) is

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Q: y 0123456 P(Y = y) 0.052 0.154 0.232 0.240 0.174 0.105 0.043 . Find the mean of the random variable…

A: According to Bartleby guildlines we have to solve first three subparts and rest can be rep Y 0 1…

Q: receive per day. It is illustrated below. X• P(X) P(X) X -H (X – µ)² P(X)·(X – µ)² 5 0.15 6 0.15 0.9…

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Q: Which of the following listed below is a legitimate probability distribution? A. B. C. X p(x) D. E.…

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Q: Select one: O a.0.25 b.None C.-0.8 d.0.80 e.0.98 f.-0.98

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Q: Determine the mean of the probability distribution: 1 3 P(x) 0.48 |0.27 0.19 .06 Round your answer…

A: Given, Probability distribution is   Mean=?

Q: Find f0.01f0.01 for FF distribution with (55,77) degrees of freedom. f0.01

A: The given degrees of freedom is (55, 77).

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A: The probability that the area is less than z=0 is given by: Pz<0=0.5 Hence the area is 0.5 or…

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Q: Determine whether this table represents a probability distribution. P(x) 0.15 0.15 2 0.15 0.5 O Yes,…

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Q: X:   10 20 30 40 P(X): 0.25 0.25 0.4 0.1 Find the mean of the above probability distribution?

A: The probability distribution is, 102030400.250.250.40.1

Q: Use the given the probability distribution to answer questions 13 - 16. P(x) 0.13 1 0.20 3 0.23 4…

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Q: Find the unknown value from the following probability distribution.

A: X 1 2 3 4 P(X) 2 a 4 a 4 a a

Q: determine if the following is a probability distribution. justify your answer     x  P(x)    0…

A: x  P(x)    0   0.04    1   0.33    3   0.42    4   0.19    5   0.02

Q: Consider the probability mass function below: x2 – 1 f(x) = ; x = 1,2,3,4 or 5 k ; otherwise a.…

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Q: A. Determine each of the following areas and show these graphically. Use probability notation in…

A: 1) Above z=1.46

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A: given data, p(X=1)=0.25p(X=2)=0.19p(X=3)=0.09p(X=4)=0.21p(X=5)=0.26we have to find out the given…

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A: Given, n is 37 , p is 3% = 0.03 By using binomial distribution.

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Q: Determine the required value of the missing probability to make the distribution a discrete…

A: According to the given information, we have The probability distribution is given.

Q: Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: Given data is f(x,y) y 1 2 3 Total x 1 0.10 0.05 0.02 0.17 2 0.10 0.35 0.05 0.50 3 0.03…