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Here is a data set that has a nearly normal distribution.

data data data data
56.51 43.13 38.23 64.1
65.88 51.36 57.11 32.23
52.67 52.85 57.19 50.38
55.69 37.46 48.83 47.7
49.14 48.02 41.81 36.91
54.67 58.35 51.22 64.83
52.9 50.63 43.9 35.97
42.38 58.73 39.12 47.22
50.54 54.38 48.96 60
48.57 46.73 44.24 65


In building a GFDT for this data set, you need to know how many values are in the class from 60 to 65. You decided that each class will include the lower class limit, but not the upper class limit. So, how many values are there in the interval [60,65)?

frequency =
A committee of four is to be formed from 3 engineers, 4 economist, 2 statistician and 1 chartered accountant. What is the probability that the committee consists of one chartered accountant and at least one economist?
A box contains 5 red balls, 4 green balls, 5 blue balls and 2 white balls. A sampling is conducted without replacement.
1. State the distribution of the number of blue balls obtained with 4 draws.
2. Determine the expected number of non-green balls from 4 draws.
3. Determine the maximum number of white balls could be obtained in 6 draws.
4. Calculate the probability to get 3 to 5 green balls in 4 draws.
Consider a random group of kpeople who tested positive for COVID-19. Their birthdays have been written down for statistical purposes regarding COVID-19 control measures.
a.Determine the least k such that it is more likely than not that two people or more have the same birthday.
b.Determine the smallest k such that it is more likely than not that two or more people share your birthday.
1) Consider a toy system like that discussed in the slides with B=2 L=-3 U=3 t=3 a) What is Xmin the smallest positive machine number.Write as a decimal not binary. b) What is Xmax the largest machine number.Write as a decimal not binary. c) If pi is approximated by the closest machine number fl(pi) compute the absolute and relative error. Write answer as decimal.
Please I need help to understand the material in math 160 especially now it's online and there's no one to ask
In case 1:
1. can you explain why did you refer to the left z-table to get the figure 0.5?
*Figure in question is: p(x>28.8) = 0.5 - 0.2939.

2. how did you get the figure (0.2939) for the probability calculation i.e
p(x>28.8) = 0.5 - 0.2939.

From what I can see, you either used the right z-table to get the figure or you got the figure by using the left z-table by means of 0.5-0.79389.

If it is the latter, why do we need to deduct it again with 0.5 i.e
=> 0.5-0.79389
= -0.29389
*work in question: p(x>28.8) = 0.5 - 0.2939

Would appreciate your soonest feedback.

A random process has sample functions of the form X(t) = Acos(wt+Θ) where w is constant, A is a random variable that has a magnitude of +1 and −1 with equal probability, and Θ is a random variable that is uniformly distributed between 0 and 2π. Assume that the random variables A and Θ are independent. 1. Is X(t) a wide-sense stationary process?


The height of students in a class is distributed with mean and standard deviation. A random sample of 100 students was taken and the 90% confidence interval for mean was found to be between 175cm and 180cm.Estimate
i)value of the sample mean
Ii)value of standard deviation
Iii)95% confidence interval for mean
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