Which are properties of a random variable? Select all that apply.
Random variables are denoted with an upper case letter.
Random variables are represented by numerical values.

The table below shows a probability density function for a discrete random variable
X
What is the probability that
X
is
2
.
?

The table below represents the probability density function for the random variable
X
Find the standard deviation of
X
Round the final answer to two decimal places.
x
P(X = x)
0
1/6
4
1/3
8
1/2
298
A softball pitcher has a
0.487
probability of throwing a strike for each pitch. If the
softball pitcher throws
29
pitches, what is the probability that no more than
14
of them
are strikes?
P(X≤14)
or
P(X<15)
Identify the parameter
n
in the following binomial distribution scenario. The probability
of buying a movie ticket with a popcorn coupon is
0.657
and without a popcorn
.
.

coupon is
0.343
. If you buy
28
movie tickets, we want to know the probability that
exactly
20
of the tickets have popcorn coupons. (Consider tickets with popcorn
coupons as successes in the binomial distribution.)

The probability of winning on an arcade game is
0.568
. If you play the arcade
game
22
times, what
is the probability of winning more than
15
times?

The probability of buying a movie ticket with a popcorn coupon is
0.597
and without a
popcorn coupon is
0.403
. If you buy
18
movie tickets, we want to know the
probability that no more than
13
of the tickets have popcorn coupons.
18
A softball pitcher has a
0.721
probability of throwing a strike for each pitch and
a
0.279
probability of throwing a ball. If the softball pitcher throws
19
pitches, we
want to know the probability that more than
15
of them are strikes.