Question

In: Statistics and Probability

1) Consider the discrete probability distribution to the right when answering the following question. Find the...

1) Consider the discrete probability distribution to the right when answering the following question. Find the probability that x exceeds 4.

A) 0.97

b) 0.39

c) 0.58

D) 0.61

2)

The on-line access computer service industry is growing at an extraordinary rate. Current estimates suggest that 15% of people with home-based computers have access to on-line services. Suppose that 12 people with home-based computers were randomly and independently sampled. What is the probability that at least 1 of those sampled have access to on-line services at home?

Question 5 options:

A)

0.8791

B)

0.1209

C)

0.2774

D)

0.8329

E)

0.9648

3)

Find the expected value of the random variable. Round to the nearest cent unless stated otherwise.

In a game, you have a  probability of 1/50 winning 106$ and a 49/50 probability of losing 3$. What is your expected value?

Question 7 options:

A)

-$0.82

B)

$5.06

C)

$2.12

D)

-$2.94

Thank you!!!!

Solutions

Expert Solution

Solution:

Question 1 can not be answered as you have not attached the probability distribution for this question.

Question 2:

We are given:

We are required to find

Using the complementary law of probability, we have:

Now using the binomial distribution formula, we have:

  

  

Therefore, the probability that at least 1 of those sampled have access to on-line services at home is 0.8578

3)

Find the expected value of the random variable. Round to the nearest cent unless stated otherwise.

In a game, you have a  probability of 1/50 winning 106$ and a 49/50 probability of losing 3$. What is your expected value?

Answer: The expected value is:

Therefore, the correct answer is -$0.82


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