Module 1 Exercise 4

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?

• $\frac{5}{30}$

• $0$

• $5$

• $\frac{1}{5}$

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?

•  $\frac{23}{30}$ 
  

•  $\frac{13}{30}$  
  

•  $\frac{10}{30}$  
  

•  $23$  
  

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:

 $P\left(X\ <\ 30\right)$  

•  $\frac{1}{12}$  

•  $\frac{4}{12}$  

•  $\frac{5}{12}$  

•  $29$  

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:

 $P\left(X\ \ge\ 30\right)$  

•  $\frac{11}{12}$  

•  $\frac{4}{12}$  

•  $\frac{7}{12}$  

•  $31$  

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:

 $P\left(X=4\right)$  

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):

 $P\left(X\le1\right)$  

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):

 $P\left(1\le X\le2\right)$  

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

 $P\left(X<4\right)$  

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

 $P\left(X\le4\right)$  

•  $1$  

•  $0.96$  

•  $4$  

•  $0$  

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

 $P\left(X=1\right)$