3.1 In a set of independent trials, a certain discrete random variable K takes on the values 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1 (a) Plot a histogram for the random variable. (b) Normalize the histogram to provide an estimate of the PMF of K

hope this .

r3t40

tube or goog would be a great resource to with that question

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: