) Identify the Z value in the following diagram of the standard normal distribution (interpolate, as neded) 0.668 probability.

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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(0.3)
a) Identify the Z value in the following diagram of the standard norma
distribution (interpolate, as neded)
0.668
b) Converting a normal probability to a standard normal probability.
Given that X has the normal distribution N (60,4), Find P{55SX363}.
) Let X have a binomial distribution with p 0.4 and n150.
Approximate the probability that:
1) X is between 52 and 71 both inclusive.
2) X is greater than 67.
3) Calculate the Mean and Standard Deviation of X.
d) The numbers of road accidents per day reported in a given city a 100
consecutive days are as follows:
No. of accidents
No. of days
2
3
4
5.
19
26
26
15
9.
4.
Check whether the distribution of accidents can be considered to be a
Poisson distribution.
e) Define the term "Random Variable;"
9.4)
a) The following data represent ten students on the subjects of
management and statistics. Find the spearman correlation coefficient
90 65 50 | 80 70 95 75
95 60 65 | 85 80 90 70
management 60
75
55
85
55
statistics
50
b) Computing from a data sct of (x.y) values, we obtained the following
summary statistics.
n-20, x-1.4, y-5.2, Sxx-28.2, Sxy-3.25,Syy 2.01
1) Obtain the equation of the best fitting straight line.
2) Estimate o2
Transcribed Image Text:(0.3) a) Identify the Z value in the following diagram of the standard norma distribution (interpolate, as neded) 0.668 b) Converting a normal probability to a standard normal probability. Given that X has the normal distribution N (60,4), Find P{55SX363}. ) Let X have a binomial distribution with p 0.4 and n150. Approximate the probability that: 1) X is between 52 and 71 both inclusive. 2) X is greater than 67. 3) Calculate the Mean and Standard Deviation of X. d) The numbers of road accidents per day reported in a given city a 100 consecutive days are as follows: No. of accidents No. of days 2 3 4 5. 19 26 26 15 9. 4. Check whether the distribution of accidents can be considered to be a Poisson distribution. e) Define the term "Random Variable;" 9.4) a) The following data represent ten students on the subjects of management and statistics. Find the spearman correlation coefficient 90 65 50 | 80 70 95 75 95 60 65 | 85 80 90 70 management 60 75 55 85 55 statistics 50 b) Computing from a data sct of (x.y) values, we obtained the following summary statistics. n-20, x-1.4, y-5.2, Sxx-28.2, Sxy-3.25,Syy 2.01 1) Obtain the equation of the best fitting straight line. 2) Estimate o2
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