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- 2. Let X be the mean of a random sample of n = 25 from N(30, 9). Find the probability that the sample mean is between 29.8 and 30.6.The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.2. Suppose you purchase box after box until you have obtained three of these prizes. ***Given: the probability that you purchase x boxes that do not have the desired prize: nb(x; 3, 0.2) What is the probability that you purchase five boxes? What is the probability that you purchase at most five boxes?The percentage of vehicles on a freeway that violate the speed limit is π = 0.88 You randomly clock n = 80 vehicles. 32) The probability that between 66 and 70 vehicles violate the speed limit is P(66 ≤ x ≤ 70) = a 0.4350 b 0.4438 c 0.4529 d 0.4621
- The random variable X has the probability distribution given in the following table. 1 2 3 4 5 P(X = x) 0.03 0.27 where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.ASAP! random variables. K=25000...k is constant, function of x and y.7. Consider the function P(x) 12 for x = 1, 2, 3 and 4. What is the probability that x is 25x between 1 and 4? а. 1 b. 2/5 С. 6/25 d. 4/25 e. 12/5
- The random variable X has the probability distribution shown, Find the value of k. 1 2 3 4 5 P (X = x) 7c 5c 40 3c О 35 13/20 O 7/20 O 1/20 Given below is the probability distribution of X: Find the value P (X<3), * 1 2 4 P (X = x) 7c 5c 4c 3c O 7/20 O 1/20 3/5 3.Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5Time left 1:08:15 Two numbersx and y are selected at random between 0 and 1. Let the events A, B and C be defined as follows: A (x> 1/3), B = (y> 2/3} and C = (x>y). Please find the probability of A given C. О a. 1/4 OБ. 3/4 Oc. 5/9 Od. 8/9 Next page age Jump to.. unular amek için buraya yazın
- Q.No.6.a. A discrete variable ‘X’ has the following probability distributionX -4 -1 1 4 6P(X=x) 0.1 0.4 k 2k 0.2i. Find the value of k.ii. P (x=3)iii. P(x≥1)iv. P(-1≤X<5)b. A bag contains 5 blue and 4 red balls, choose 5 balls randomly, if ‘X’ is the number ofblue balls selected.a random variable has probability distribution: x= 0,1,2,3,4,5,6,7 and P(x) =0,k,2k,2k,3k,k*k.2k*k, 7k (k+1), the value of p(x<3)= O a. no one of them O b. 0.3 O c. 1the probability is .40 that a tragic fatality will involve an intoxicated or impaired driver or nonoccupant. in 8 traffic fatalities find probability that Y that involve an intoxicated driver A 3 B between 2 and 4 C mean D stabdered deciarion of Y