Question:

1.Find the sample mean x, median, variance s2, and standard deviation s of the following data:

1510251240

2.Compute a 95% confidence interval for the true population mean if the sample mean x =15.3 cm with a sample size of10 ceramic vessels and a sample standard deviation s = 3.5 cm of ceramics vessels.

3.Let be normally distributed with a mean of 120 and standard deviation of 25.

(a)What is the Probability that X will be less than 160.

(b) Suppose a sample of 26 students were selected, what is the probability that X will be greater than 125.

4.The average body temperature of a healthy adult is = 98.6 (in degrees Fahrenheit). Jenny is concerned that her temperature is elevated, and so she took her temperature on 5 randomly chosen occasions. Her average temperature x was 99.3. Let be a random variable that represents Jenny's body temperature. You may assume that has a normal distribution with standard deviation = 0.73. Test, at the 1% level of significance, whether the sample result provides strong evidence that Jenny's body temperature of = 98.6 is elevated.

5.A recent poll of students in a certain college revealed the following information about their class scheduling:

STUDENTS

HISTORY

MATHEMATICS

BIOLOGY

TOTALS

FRESHMAN

20

45

5

70

JUNIOR

25

35

30

90

SENIOR

10

15

15

40

TOTALS

55

95

50

200

A student is selected at random, and the following variables are defined:

B: Biology, H: History, M: Mathematics,F: Freshman,J: Junior,S: Senior.

Find these probabilities:

(a) P(S/B)(b) P ( J and M)(c) P(S or M)(d) P(B /S )

6.A coin is tossed 10 times.

(a)Find the probability of getting exactly 8 heads.

(Use the Binomial Probability Distribution table)

(b) Find the probability of getting at least 8 heads.

(c)Find the expected value ' '

(d) Find the standard deviation

7.An animal shelter has a 65% adoption rate for puppies. Of all the puppies in the shelter, 71% live to be 7 years older. Of all the puppies who lived to be 7 years older, 85% were adopted,

(a)What is the probability that a random selected puppy in the shelter will get adopted and lived 7 years older?

(b) Professor Jackson is in charge of a program to prepare people for a high school equivalency exam. Records show that 4.23% of the students need work in Math, 3.14% need work in English, and 2.03% need work in both areas. Compute the probability that a student selected at random needs Math or English.

8.A pair of dice is rolled, find these probabilities:

(a) P(sum is greater or equal to 10)

(b) P(sum is less than 6 )

(c) P(sum is 8 or 12 )

(d) P(sum is at most 5)

9.Draw the Normal Distribution Curve over the indicated area given and find these probabilities:

(a) Area between Z = -2.23 and Z = 2.33,

(b) Area to the right of Z - 3.45

10. From a deck of cards, a card is drawn. Find these probabilities:

(a)P(drawing a jack and red).

SUBJECT.PNGEQUITY.PNG

(b) P(drawing a spade giving that the card is black).

(c)P(drawing a diamond or black).

(d) P(drawing a jack and red).