random variable

Is this a valid probability distribution?

Days Probability

0 | 0.68

1 | 0.05

2 | 0.07

3 | 0.08

4 | 0.05

5 | 0.04

6 | 0.01

7 | 0.02

• Yes, because the probabilities add to 1 and are each between 0 and 1.

• No, because the probabilities add to 1 and are each between 0 and 1.

• Yes, because the probabilities do not add to 1 and are each between 0 and 1.

• No, because the probabilities do not add to 1 and are each between 0 and 1.

Tags

CCSS.HSS.CP.B.7

Given the probability distribution table below, find the value of k.

• 0.35
• 0.15
• 0.20
• 0.30

Tags

CCSS.HSS.MD.A.1

Find the missing value for P(X=5) in the probability ditribution:

Number of Toys | Probability

0| 0.03

1| 0.16

2| 0.30

3| 0.23

4| 0.17

5| ?

• 0.11

• 0.21

• 0.01

• 0.31

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Consider the following distribution where X = number of mice caught in an apartment in a night:

Mice | Probability

0 | 0.12

1 | 0.20

2 | 0.31

3 | 0.14

4 | 0.16

5 | 0.07

Is X discrete or continuous?

• Discrete

• Continuous

Consider the following distribution where X = number of mice caught in an apartment in a night:

Mice | Probability

0 | 0.12

1 | 0.20

2 | 0.31

3 | 0.14

4 | 0.16

5 | 0.07

Which of the following means "trapping at least one mouse?"

• X<1

• X<1

• X>1

• X>1

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

What is the sample space suppose two coins are tossed?

• {HH,HT,TH,TT}

• {H,T}

• {HH,TT}

• {HHH,TTT, HHT, HTH, HTT, THH, THT,TTH}

Cool TV game show
Players win prizes with probabilities shown:
P($0) = .70
P($500) = .25
P($5,000) = .05
What are the mean and the standard deviation of the prize variable?

• Mu = $375; sigma = $361
• Mu = $375; sigma = $1,083
• Mu = $1,833; sigma = $1,816
• Inadequate info is provided.

Find expected weekly profit E(X). Per-car profit is $3,500.
Cars sold   P(x)
0              .32
1             .28
2              .15
3              .11
4              .08
5              .06

• $2,380
• $3,500
• $5,355
• $8,109

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

• 31.8

• 15.68

• 0.20

• 1.00

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3