Question 1 Two dice are rolled once, let A = 'Sum of two dice equals 3' B = 'Sum of two dice equals 7' C='at least one of the dice shows number 1' D = 'same number on the two dice' (a) What is P(A | C) (b) What is P(BIC) (c) Suppose getting event D is considered a success. Find the probability distribution of the number of success and its mean and variance.

Q: Suppose j and k are two independent events with P(j) =0.35 and p(k) = 0.19 what is the p(j and k^c)?…

A: Given  P(j)=0.35, P(k)=0.19   P(j and k^c)=?  Where j and k are independent

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Q: X disease is seen at a rate of 5% in the society. That is, 5% patients (H) are 95% healthy (S).…

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Q: Two events A and B are such that P(A) = 0.50, P(B) = 0.32 and P(An B) = 0.10. Calculate P(A/(A^B)).…

A: P(A) = 0.50 P(B)  = 0.32 P(A∩B) = 0.10 P(A|(A∩B)) = ?

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A: The probability that a randomly selected 33​-year-old male garter snake will live to be 44 years old…

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Q: (5) Records show that 85% of students need work in chemistry , 60% need work in writing and 50% need…

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A: given:- Currently Samsung ships 21.5 percent 3 organic light-emitting diode displays  in the world…

Q: The probability distribution of number of televisions per household in a small town x 0 1 2 3 ​P(x)…

A: The probability distribution of number of televisions per household in a small town is given by,…

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A: Given,  There were 18 accidents involving machinery in the last six months. => Number of…

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Q: 6. It is known that the diameter of Douglas fir trees is normally distributed with μ = 50cm and a…

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Q: (3 points) One hundred people were surveyed, and one question pertained to their educational…

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Q: Let X be a random variable with probability distribution as shown below: -1srs2 S(x)={ and g(X)=4X+3…

A: We know that expected value of x is given by, E(X)= integration|x x*f(x)dx  = Integration|x=-12 x3/3…

Q: #36 please

A: From the given information, there is 1% of all chips on the market are stolen, that is P(A) = 0.01.…

Q: (i) probability distribution (ii) Mean (iii) Variance.

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A: Given that P=5% = 0.05 p= 10% = 0.10 n=5

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Q: Find the probability of the indicated event if P(E)=.20 and P(F)=.45 Find P(E or F) if P(E and…

A: P(E) = 0.20 P(F) = 0.45 P(E or F) = ? P(E and F ) = 0.15

Q: You have 4 pennies (1¢ each) and 3 nickels (5¢ each) in your pocket. You reach in and blindly grab…

A: Probability = No of ways to get 11 C/ Total number of ways

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Q: One advantage and one disadvantage of the binomial probability distribution.

A: Advantage:-  The binomial distribution model allows us to compute the probability of observing a…

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Q: (a) Show that if we are given the odds in favor of event A as n:m, the probability of event A is…

A: Given that  The odds in favor of event A as n:m Odds in favor of A = nm=P(A)1-P(A) Now,…

Q: The probability distribution of number of televisions per household in a small town x 0 1 2 3 ​P(x)…

A:

Q: A team with four members is to be chosen from three boys and four girls.if x is the random variable…

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Q: The probability that a patient recovers from a certain type of operation is 0.75. (a) What is the…

A: From the given information,n = 5 P = 0.75Using formula, ( Binomial distribution)

Q: (4) 6. Find the probability of rolling a sum of 8 one time in 2 rolls of the dice?

A: To find: Probability when two dice are rolled, sum of the outcomes is 8.