Statistics probability assignment solution
- You’re going to catch a fish in the river. You know that its size is normally distributed with mean 56 inches and standard deviation 7 inches. What is the probability that you catch a fish over 60 inches? What is the probability that you catch a fish less than 50 inches?
SOLUTION
We are given x is normally distributed with mean (µ) = 56 and standard deviation (∂) = 7.
- P(x> 60) To calculate this probability we shall calculate the z-value for
x= (60) then we calculate the area to the right of this value from the z-test tables.
Z-value is given by, z = (x - µ)/(∂) where x is sample statistic,µ is the population mean and ∂ is the standard deviation.
Z for x = 60, z(60) = (60-56)/7 = 0.5714 to2decimal place is 0.57
For p(x>60) we calculate from z tables the area to the right of 0.57 from z tables, thus p(x>60) = 1-0.7157= 0.2843
Therefore the probability that one catches a fish over 60inches is 0.2843
- We are given x is normally distributed with mean (µ) = 56 and standard deviation (∂) = 7.
P(x<50) to calculate this probability we shall calculate the z-value for
x= (57) then we calculate the area to the left of this value from the z-test tables.
Z-value is given by, z = (x - µ) / (∂) where x is sample statistic,µ is the population mean and ∂ is the standard deviation.
Z for x = 50, z (50) = (50-56)/7 = -6/7 = -0.8571 to 2decimal place = -0.86
For p(x<50) we calculate from z tables the area to the left of -0.86 from z tables, thus p(x<50) = 0.1949
Therefore the probability that one catches a fish over 60inches is 0.1949
- Construct a 95% confidence interval if the sample size is 30, mean is 60 and the standard deviation is 8.
SOLUTION
Confidence interval ( CI) = Sample Mean (x) ±( (zα * ∂)/√n) where x is sample mean,zα is the value of z for significance level given, ∂ is the standard deviation and √n is the square root of n
Thus, CI = x ± ((zα * ∂)/√n),
CI = 60 ± ((Z0.05 * 8) / √30), = 60 ± ((1.96 * 8) / √30
CI = (60 - 2.8628, 60 - 2.8628)
CI = (57.1372, 62.8628)
Therefore the 95%confidence interval is (57.1372, 62.8628)
Buy Statistics probability assignment solution Answers Online
Talk to our expert to get the help with Statistics probability assignment solution to complete your assessment on time and boost your grades now
The main aim/motive of the management assignment help services is to get connect with a greater number of students, and effectively help, and support them in getting completing their assignments the students also get find this a wonderful opportunity where they could effectively learn more about their topics, as the experts also have the best team members with them in which all the members effectively support each other to get complete their diploma assignments. They complete the assessments of the students in an appropriate manner and deliver them back to the students before the due date of the assignment so that the students could timely submit this, and can score higher marks. The experts of the assignment help services at urgenthomework.com are so much skilled, capable, talented, and experienced in their field of programming homework help writing assignments, so, for this, they can effectively write the best economics assignment help services.
