SOLUTION: 5.2 (10, 14) 10. Determine whether the distribution represents a probability distribution. It not, state why. x 20 30 40 50 p(x)1.1 0.2 0.9 0.3 14. State wh

Algebra ->  Probability-and-statistics -> SOLUTION: 5.2 (10, 14) 10. Determine whether the distribution represents a probability distribution. It not, state why. x 20 30 40 50 p(x)1.1 0.2 0.9 0.3 14. State wh      Log On


   



Question 160822This question is from textbook Elementary Statistics
: 5.2 (10, 14)
10. Determine whether the distribution represents a probability distribution. It not, state why.
x 20 30 40 50
p(x)1.1 0.2 0.9 0.3
14. State whether the variable is discrete or continuous.
The number of people who play the state lottery each day.
5.3 Problem # 19
A person decides to invest $50,000 in a gas well. Based on history, the probabilities of the outcomes are as follows.

Outcome p(x)
$80,000 (highly successful) 0.2
$40,000 (Moderately successful) 0.7
-$50,000 (Dry well) 0.1

Find the expected value of the investment. Would you consider this a good investment?
5.4 Problem # 16
16. Find the mean, variance, and standard deviation for the number of heads when 20 coins are tossed.
This question is from textbook Elementary Statistics

Answer by Fombitz(32388) About Me  (Show Source):
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5.2 (10, 14)
10. No, p(x)<=1, p(20)>1.
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14. Discrete, the values are only positive integers (0,1,2,3,...). no numbers in between.
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5.3 Problem # 19
E=80000%280.2%29%2B40000%280.7%29%2B%28-50000%29%280.1%29
E=16000%2B28000-5000=39000

You put in $50,000 and get back $39,000. Doesn't seem like a good investment.
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Coin flipping is a binomial event (heads or tails).
Number of trials(coin flips), n=20
Probability of heads, p=1/2.
Mean=np=10 heads
Variance = np%281-p%29=20%281%2F2%29%281-1%2F2%29=5
Standard deviation = sqrt%28np%281-p%29%29=sqrt%285%29