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FIVIZZ WEEK 16: MATHEMATICS 3

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

A coin is tossed four times. Calculate the probability of obtaining more heads than tails.

a)

0.3125

b)

0.5

c)

0.6875

d)

0.0625

2.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

a)

0.831

b)

0.962

c)

0.132

d)

0.250

3.

Sara expected to receive 4 emails in a week. Find the probability of receiving 6 emails for the next 2 weeks?

a)

0.0531

b)

0.1221

c)

0.1041

4.

  If XPo(1.8), find P(2<X<5)If\ X∼Po​(1.8),\ find\ P(2<X<5)  

a)

0.2590

b)

0.5008

c)

0.2330

5.

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

a)

95%95\%

b)

68%68\%

c)

99.7%99.7\%

d)

84%84\%

6.

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

a)

82

b)

88

c)

100

d)

118

7.

The random variable T has binomial distribution T~(40,0.5). Find P(T≤12)

a)

0.0032

b)

0.9968

c)

0.0051

d)

0.0083

8.

A new surgical procedure is successful 85% of the time. the procedure is performed 8 times and it can be assumed that it is independent each time. Find the expected value of the successful operations.

a)

1.2

b)

6.8

c)

1.02

d)

0.1275

9.

 Find A1Find\ A^{-1}  


a)
b)
c)
d)
10.

 Find ABFind\ AB  

a)
b)
c)