Free Printable Module 1 Exercise 4

1.

Let the random variable X be the number of cups of coffee consumed by each client with a meal. The probability distribution of X is shown on the left.

What is the probability that a client will not drink coffee with a meal?

a)

$\frac{5}{30}$

b)

$0$

c)

$5$

d)

$\frac{1}{5}$

2.

Let the random variable X be the number of cups of coffee consumed by each client with a meal. The probability distribution of X is shown on the left.

What is the probability that a client will drink at most two cups of coffee?

a)

$\frac{23}{30}$

b)

$\frac{13}{30}$

c)

$\frac{10}{30}$

d)

$23$

3.

Let the random variable X be the number of days in a month for a leap year (Note: There are 29 days in February for a leap year.) The probability distribution of X is shown on the left.
Determine the following probability:

P\left(X\ <\ 30\right)

a)

$\frac{1}{12}$

b)

$\frac{4}{12}$

c)

$\frac{5}{12}$

d)

$29$

4.

Let the random variable X be the number of days in a month for a leap year (Note: There are 29 days in February for a leap year.) The probability distribution of X is shown on the left.
Determine the following probability:

P\left(X\ \ge\ 30\right)

a)

$\frac{11}{12}$

b)

$\frac{4}{12}$

c)

$\frac{7}{12}$

d)

$31$

5.

Let the random variable X be the number of best friends each of a Grade 3 student. The probability histogram of X is shown on the left.
Determine the following probability:

P\left(X=4\right)

(a)

6.

Let the random variable X be the number of best friends each of a Grade 3 student. The probability histogram of X is shown on the left.
Determine the following probability (decimal form/don't round off):

P\left(X\le1\right)

(a)

7.

Let the random variable X be the number of tails in a probability experiment of tossing a coin thrice.
The probability histogram of X is shown on the left.
Determine the following probability (decimal form/don't round off):

P\left(1\le X\le2\right)

(a)

8.

Consider the probability distribution on the left.
Determine the following probability (decimal form/don't round off):

P\left(X<4\right)

(a)

9.

Consider the probability distribution on the left.
Determine the following probability:

P\left(X\le4\right)

a)

$1$

b)

$0.96$

c)

$4$

d)

$0$

10.

Refer to the incomplete probability distribution on the left. Determine the following probability (decimal form/don't round off):

P\left(X=1\right)

(a)

Module 1 Exercise 4

Total questions: 10

Worksheet time: 20mins

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