If P(A) = 0.2, then P(A) = A fair die is rolled, Answer each question. Show the
ID: 3181687 • Letter: I
Question
If P(A) = 0.2, then P(A) = A fair die is rolled, Answer each question. Show the sample space. What the of probability of rolling an even number. When a 6-sided fair die is rolled three times, what the probability that all odd numbers are rolled? A classical counting problem is to determine the number of different ways that the letters of "ENGINEER" can he arranged Find that number. A fair coin is flipped three times. Let x be the number of heads. Construct the probability distribution of the random variable X. The following table shows the probability distribution of a random variable X. Compute the me and standard deviation of X.Explanation / Answer
28. Mean = Sum of (X * f(x))
= 0x0.5 + 1x0.3 + 2x0.2 = 0.7
Variance = Sum of [(X-Mean)2 * f(x)]
= (0-0.7)2x0.5 + (1-0.7)2x0.3 + (2-0.7)2x0.2
= 0.61
So, standard deviation = sq root(0.61) = 0.781