** **

1. A coin is tossed 3 times.

(A) The sample space is____________________________________________________________

(B) Find the probability of getting exactly 1 heads by listing the number of outcomes of the only one head.

(C) Is this considered the binomial distribution? Why does it consider a binomial distribution? If yes, use the 4 requirements to identify it.

(D) Use the Binomial Probability formula to find probability from part (B).

(E) Find the probability of getting at most 1 head? What does getting at most 1 head mean? You can use binomial distribution formula sheet.

(F) Find the probability of getting at least 2 heads. What does getting at least 2 heads mean? You can use binomial distribution formula sheet.

(G) Find the mean, variance, and standard deviation for the number of head will be obtained. Remember tossing a coin getting a head is a binomial distribution.

2. Draw the normal curve and then find the area under the standard normal distribution.

a. to the left of -2.56

b. to the right of 2.56

c. between 0 and 2.56

8. Find the following probabilities using the table. Sketch the normal distribution shape and shade the region.

(A) p( z <2.18)

(B) Find*p*(z>2.18)

(C)Find*p*(*−*1.46 *<z<*2.18)

9. The average height of LACC students is 60 inches. The standard deviation is 5 inches. The variable is normally distributed.

(A)Draw the normal distribution with labeling mean and standard deviation.

(B)Find the probability that a selected individual height will be greater than 50 inches. With the normal curve, shade the region that is greater than 50 inches.

(C)Find the probability that a selected individual height will be less than 65 inches. With the normal curve, shade the region that is less than 65 inches.

(D)If 25 students in English class will be selected, find the probability of the height will be less than 65 inches? What is the name of the theorem are you applying?

**3. ****Estimate 90% confidence interval for the true population proportion. **

In a survey at UCLA, there are 50 students out of 200 who like to drink cappuccino. Find the sample proportion, critical value, and then estimate the confidence interval (write out the result).

**4. ****Estimate 90% confidence interval of the true mean. **

In a survey at UCLA, the average hour of sleeping is 6 hours per week during the final week from a sample of 30 students and its standard deviation is 2 hours. Find critical value and then estimate the confidence interval (write out the result).

Subject | Mathematics |

Due By (Pacific Time) | 07/25/2013 12:00 am |

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