Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

The odds that a Ph.D. thesis will be favourably reviewed by three independent examiners are 5 to 2, 4 to 3, and 3 to 4 respectively. What is the probability that: of the three examiners: (a) all reject the thesis, (b) all approve the thesis, (c) a majority approve the thesis.

The odds that a Ph.D. thesis will be favourably reviewed by three independent examiners are 5 to 2, 4 to 3, and 3 to 4 respectively. What is the probability that: of the three examiners: (a) all reject the thesis, (b) all approve the thesis, (c) a majority approve the thesis.

Grade:12

1 Answers

Jit Mitra
25 Points
9 years ago

P(X) be the probability that X reviews the thesis favourably.

 

P(A) = 5/7

P(B) = 4/7

P(C) = 3/7

 

Probability that all reject the thesis = (1-P(A)(1-P(B))(1-P(C)) = 2/7*3/7*4/7 = 24/343

Probability that all approve the thesis = P(A).P(B).P(C) = 5/7*4/7*3/7 = 60/343

 

Majority approve the thesis = P(A).P(B).(1-P(C)) +  P(B).P(C).(1-P(A)) +  P(A).P(C).(1-P(B))              [Two approve one reject]

 

= 5*4*4/343 + 4*3*2/343 + 5*3*3/343 = (80+24+45)/343 = 149/343

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free

10th iCAT Scholarship Test Registration Form