# Statistics and Probability ROQ - 1

## Quiz by Raymund de la Cruz

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- Q1
Which of the following illustrates a random variable?

The length of new-born babies

The number of students per grade level

All choices

The speed of a train

30s - Q2
What random variable produce set of possible outcomes that is countable?

both discrete and continuous random variable

continuous random variable

none of the choices

discrete random variable

30s - Q3
Which of the following random variable belongs to a continuous random variable?

the number of turnovers made by a team

the area covered by a basketball court

the number of free throws made by a player

the number of timeouts remaining

30s - Q4
Which of the following DOES NOT belong to the group?

the temperature of a person entering the mall

the remaining number of seats in a classroom

the time it takes to finish taking a bath

the average points of a basketball player in a season

30s - Q5
Whichof the following is NOT a possible value of a random variable?

$\backslash sqrt[3]\{-8\}$

$0.99$

$\backslash sqrt\{-7\}$

$\backslash frac\{1\}\{3\}$

30s - Q6
Suppose that 2 out of 10 bags delivered by a company is damaged. If a store receives 3 of these bags, then what are the possible values of the random variable 𝑋 representing the number of damaged bags?

$X=\backslash left\backslash \{0,\backslash \; 1\backslash right\backslash \}$

$X=\backslash left\backslash \{0,\backslash \; 1,\backslash \; 2\backslash right\backslash \}$

$X=\backslash left\backslash \{0,\backslash \; 1,\backslash \; 2,\backslash \; 3\backslash right\backslash \}$

$X=\backslash left\backslash \{0\backslash right\backslash \}$

60s - Q7
Which of the following is NOT a possible value of a probability of a value of a random variable in a discrete probability distribution?

$0.94$

$-0.25$

$0$

$1$

30s - Q8
What is the sum of the probabilities in a particular discrete probability distribution?

$-1$

$0.5$

$0$

$1$

30s - Q9
What is the value of the missing probability in the probability distribution?

$0.27$

$0.17$

$0.83$

$1.00$

120s - Q10
The table shows the probability distribution of random variable representing the number of cellular phones sold in a gadget store. What is the probability that at most 4 cellphones will be sold?

$0.11$

$0.15$

$0.89$

$0.85$

120s - Q11
What should be solved when the expected value is asked?

mean

mode

standard deviation

variance

30s - Q12
A random variable

$3.6$

$2.6$

$4.4$

$1.0$

300s - Q13
A random variable

$0.16$

$0.24$

$0.08$

$0.32$

300s - Q14
A random variable can take only values 1 and 2 with 0.6 and 0.4 probabilities, respectively. What is the mean?

$1.6$

$1.3$

$1.4$

$1.5$

300s - Q15
In barangay Payapa, 80% of the teenagers has 1 cellphones and 20% has 2. What is the expected number of cellphones that a teenager has in barangay Payapa?

$1.6$

$1.0$

$1.4$

$1.2$

300s