Q3 (Gmarks) What probability value would be needed to complete the follow ing pr

Question

Q3 (Gmarks) What probability value would be needed to complete the follow ing probability distribvution? 0925 015 1- find the value of a 2- find mean and standard deviatin 3- p( x> -1) Q4 if X has binomial distribution with p-0.55 and n-15 (3marks) a find mean b- standard deviation (5marks) 6) The weigh of students in AURAK is normally distributed with a mean of 80 and a Q5- standard deviation of 7. If one students is selcted randomly a- What is the probability of student wight is more than 90 b- What is the probabilit of student wight is between 73 and 87

Explanation / Answer

Solving qustion 2

a) a = 1 - (0.09+0.25+0.15+0.27)= 0.24

b( Mean = 0.09* -5 + 0.25*-1 +0.15*0+ 0.24*1 +0.27*4 = 0.62

Standard deviation = Sqrt[0.09* (-5-0.62)^2 + 0.25*(-1-0.62)^2 +0.15*(0-0.62)^2+ 0.24*(1-0.62)^2 +0.27*(4-0.62)^2]=sqrt(6.6756)=2.5837

3 P(x>-1) = 0.15+0.25+0.27 = 0.66

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