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ziro4ka [17]
4 years ago
11

You draw a card from a deck. If you get a red​ card, you win nothing. If you get a​ spade, you win ​$10. For any​ club, you get

​$30 plus an extra ​$40 for the ace of clubs.
​a) Create a probability model for the amount you win at this game. ​
b) Find the expected amount​ you'll win. ​
c) How much would you be willing to pay to play this​ game? ​
a) Card red spade ace of clubs any other club Winnings 0 10 70 30 Probability nothing nothing nothing nothing
Mathematics
1 answer:
Aleks04 [339]4 years ago
6 0

Answer: It is B

Step-by-step explanation:

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3 years ago
News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c
OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

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3 years ago
Based on the construction below, which of the following statements is NOT true?
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The answer c is not true
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