#### Question Details

(Answered) Use the following scenario to answer the next 6 questions. Let x

Use the following scenario to answer the next 6 questions. Let x

More Details:

Use the following scenario to answer the next 6 questions. Let x be a binomial random variable with ,

n = 10 and p =.4. Find the following values:,

1) P(x = 4) ,

,

,

,

,

2) P(x ? 4) ,

,

,

,

,

3) P(x > 4),

,

,

,

,

4) P(x ? 4) ,

,

,

,

,

5) E(x) =np ,

,

,

,

,

6) Standard Deviation = ?npq, where q = 1 - p,

,

,

,

,

Use the following scenario to answer the next 5 questions. As a way of fund raising, you decide to set up a hot dog stand, after a few weeks of doing this you sell 8 hot dogs every 10 minutes.,

,

7) What is the probability you will sell 3 or less hot dogs in 10 minutes?,

,

,

,

,

8) If you need to sell more than 3 hot dogs in 10 minutes to breakeven, what is the probability that you will break even in the next 10 minutes?,

,

,

,

,

,

9) What is the expected number of hot dogs sold in 1 minute?,

,

,

,

,

,

10) What is the expected number in 3 minutes?,

,

,

,

,

,

11) What is the probability of selling exactly 3 hot dogs in 3 minutes?,

,

,

,

Use the following scenario to answer the next 3 questions. A volunteer ambulance service handles 0 to 5 service calls on any given day. The probability distribution for the number of service calls is as follows.,

,

Number of service calls probability ,

0 .10 ,

1 .15 ,

2 .30 ,

3 .20,

4 .15,

5 .10,

12) What is the expected number of service calls?,

,

,

,

13) What is the variance in the number of service calls? ,

,

,

,

14) What is the standard deviation?,

,

,

Use the following scenario to answer the next 6 questions. Let x be a binomial random variable with ,

n = 10 and p =.4. Find the following values:,

1) P(x = 4) ,

,

,

,

,

2) P(x ? 4) ,

,

,

,

,

3) P(x > 4),

,

,

,

,

4) P(x ? 4) ,

,

,

,

,

5) E(x) =np ,

,

,

,

,

6) Standard Deviation = ?npq, where q = 1 - p,

,

,

,

,

Use the following scenario to answer the next 5 questions. As a way of fund raising, you decide to set up a hot dog stand, after a few weeks of doing this you sell 8 hot dogs every 10 minutes.,

,

7) What is the probability you will sell 3 or less hot dogs in 10 minutes?,

,

,

,

,

8) If you need to sell more than 3 hot dogs in 10 minutes to breakeven, what is the probability that you will break even in the next 10 minutes?,

,

,

,

,

,

9) What is the expected number of hot dogs sold in 1 minute?,

,

,

,

,

,

10) What is the expected number in 3 minutes?,

,

,

,

,

,

11) What is the probability of selling exactly 3 hot dogs in 3 minutes?,

,

,

,

Use the following scenario to answer the next 3 questions. A volunteer ambulance service handles 0 to 5 service calls on any given day. The probability distribution for the number of service calls is as follows.,

,

Number of service calls probability ,

0 .10 ,

1 .15 ,

2 .30 ,

3 .20,

4 .15,

5 .10,

12) What is the expected number of service calls?,

,

,

,

13) What is the variance in the number of service calls? ,

,

,

,

14) What is the standard deviation?,

,

,

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