University:
York University
Course:
MATH 1131 | Introduction to Statistics I
Academic year:

2022
Views:

229

Pages:

6
Author:

Niklas

Exercise 4. Roll a six faced fair die. Suppose X denote the number appear on the top of the die a. Find the probability that an even number appear on the top. Is Find the probability that the nemler sppear on the top is less than 3. c. Compute mean and variance of X. FAIR: probability of getting one of each X; appear on the top X={1,2,3,4,5,6} X=12,4,6} even number X-Unif (116) P(X= even number) = P(x+2) + P(x-4) + P(x:6) = 1/6+1/6+1/6 = 1/2 PROBABILITY HASS FUNCTION OF X-UniF [46] P(X=x) 11 6-141 6 6-a+1 b) P(X<3) = P(x-1)+P(x=2) = 4+4 = 0.33 c) E(X)=ath - 146 - 3.5 2 2 V(x) = n-116-1+1)-1 = 35 12 12 2.92 12 Exercise 5. Only 5% of calls made by a double glazing telephone sales rep results in a sale. a. If the rep makes 20 calls, what is the chance she will make at lesest one sale? b. How many calls should the sales rop male on average before she can expect her first cale? c. What is the probability that her first successful sale is on her second call? Q) X = sales X~Bin (20,0.05) trals P(x)=1-P(x0) 1-[(20) 005 (1-005 5/5/100 0.05 PRUBABILITY MASS FUNCTION FOR BRIDAL P(x)()() b) we are interested on trials rodal before we got our first caucas →GEDRETRIC DISTRIBUTION Ys extrals wohl first sucess pa probability of success in any one binel the probability thue the first suers is on the kith trial PICEABILITY HASS TUANCTOR Y~ Ge (0.15) E(1)=1=120 P 695 P(1.2)(1-0.05) (005)0:08 24 Exercise 5. Only 5% of calls made by a double glazing telephone sales rep results in a sale. a. If the rep makes 20 calls, what is the chance she will make at lesest one sale? b. How many calls should the sales rop male on average before she can expect her first cale? c. What is the probability that her first successful sale is on her second call? Q) X = sales X~Bin (20,0.05) trals P(x)=1-P(x0) 1-[(20) 005 (1-005 5/5/100 0.05 PRUBABILITY MASS FUNCTION FOR BRIDAL P(x)()() b) we are interested on trials rodal before we got our first caucas →GEDRETRIC DISTRIBUTION Ys extrals wohl first sucess pa probability of success in any one binel the probability thue the first suers is on the kith trial PICEABILITY HASS TUANCTOR Y~ Ge (0.15) E(1)=1=120 P 695 P(1.2)(1-0.05) (005)0:08 24