Answer:
(a) 0.50
(b) 0.75
(c) 0.6522
Step-by-step explanation:
We are given that the firm’s management initially had a 50–50 chance of getting the project.
Let Probability of getting a project or bid being successful, P(S) = 0.50
Probability of not getting a project or bid being unsuccessful, P(US) = 1 - 0.50 = 0.50
Also, Past experience indicates that for 75% of the successful bids and 40% of the unsuccessful bids the agency requested additional information which means;
Let event R = agency requested additional information
So, Probability that the agency requested additional information given the bid was successful, P(R/S) = 0.75
Probability that the agency requested additional information given the bid was unsuccessful, P(R/US) = 0.40
(a) Prior probability of the bid being successful = Probability of getting a project or bid being successful = 
= 0.50
(b) The conditional probability of a request for additional information given that the bid will ultimately be successful = P(R/S) = 0.75
(c) The posterior probability that the bid will be successful given a request for additional information is given by P(S/R) ;
Using Bayes' Theorem for this we get;
P(S/R) = 
= 
= 0.6522 .
Answer:
The probability that Sonia picks a yellow hair clip and a blue hair clip without replacement = 
Step-by-step explanation:
Given:
Sonia has:
5 yellow hair clips
2 red hair clips
3 blue hair clips
To find the probability that she picks a yellow hair clip and a blue hair clip without replacement.
Solution:
Total number of clips = 
= 10
The probability that Sonia picks a yellow clip from the lot will be :
⇒ 
⇒ 
Simplifying fraction by dividing both numbers by their G.C.F.
⇒ 
⇒ 
<em>Since no replacement is taking place, so after picking a yellow clip from the lot, the number of clips is decreased by 1.</em>
So, new number of clips = 
= 9
The probability that Sonia picks a blue clip from the remaining lot will be :
⇒ 
⇒ 
Simplifying fraction by dividing both numbers by their G.C.F.
⇒ 
⇒ 
The probability that she picks a yellow hair clip and a blue hair clip without replacement can be given as:
⇒ 
⇒ 
⇒ (Answer)
Answer:
r=85
Step-by-step explanation:
r-76=9
add 76 to both sides
r=85
hope this is helpful
Sorry I am not good at math either
Answer: the answer is 64 cubed witch is just a a little 3 next to 64.
Step-by-step explanation: the Equation is 4x4x4x is 64cubed do not forget the cubed you will get it wrong if you forge.
