Answer any 2: 1) We play the following game: We need a regular six side die and
ID: 3206104 • Letter: A
Question
Answer any 2:
1) We play the following game:
We need a regular six side die and regular 4 side die.
Create a probability tree. First we toss a regular six side die. If we score 1 or 2 we toss the 6-side die again. The product of the two scores is our winning in dollars. If we don’t score 1 or 2 in the first toss, then we pick a 4-side die and toss it. The sum of two scores is how much dollars you loose.
2) Create a probability tree or a contingency table. The cancer of type X has a prevalence of 0.0165% in USA. The cancer test has false positive 2% and false negative of 3.6%. What is the probability that you don’t have cancer if you are tested negative?
3)In a lake there are 53 blue tail fishes and 40 yellow tail fishes. We capture 12 fishes. What is the most probable number of blue tail fishes?
4) Every year 8% of employees of my company are randomly chosen to get raise. My company has 92 employees. How many raises should I have expected in 20 years I worked in this company?
Explanation / Answer
I'll do 1st, 3rd and 4th
1) The contingency table is as follows
3)
The most probable number of blue tail fishes = 12 * (53 / 53+40)
= 12 * 53 / 93
= 6.838
4)
This is a binomial probability
The chances of you getting selected for a raise = 1 / (0.08*92)
= 0.13587
Thus,
number of chances = 0.13587 * 20
= 2.71 raises
Hope this helps
Dice 1 Dice 2 Win / Loss Probability 1 1 1 0.027778 2 2 0.027778 3 3 0.027778 4 4 0.027778 5 5 0.027778 6 6 0.027778 2 1 2 0.027778 2 4 0.027778 3 6 0.027778 4 8 0.027778 5 10 0.027778 6 12 0.027778 3 1 -4 0.041667 2 -5 0.041667 3 -6 0.041667 4 -7 0.041667 4 1 -5 0.041667 2 -6 0.041667 3 -7 0.041667 4 -8 0.041667 5 1 -6 0.041667 2 -7 0.041667 3 -8 0.041667 4 -9 0.041667 6 1 -7 0.041667 2 -8 0.041667 3 -9 0.041667 4 -10 0.041667Related Questions
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