# Statistics and Probability ROQ - 1

## Quiz by Raymund de la Cruz

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25 questions
• 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?

$\sqrt\left[3\right]\left\{-8\right\}$

$0.99$

$\sqrt\left\{-7\right\}$

$\frac\left\{1\right\}\left\{3\right\}$

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?

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

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

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

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

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  can take only values 2 and 5 with 0.8 and 0.2 probabilities respectively. What is the mean?

$3.6$

$2.6$

$4.4$

$1.0$

300s
• Q13

A random variable  can take only values 1 and 2 with 0.8 and 0.2 probabilities respectively. If the mean is 1.2, what is the variance?

$0.16$

$0.24$

$0.08$

$0.32$

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

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