Find the area of segment CFD given the following information: radius = 20in, area of ΔCBD = 178.2in2, and m∠CBD = 63° Round your
answer to the nearest hundredths if necessary.
a. 41.71 in2
b. 95.20 in2
c. 89.10 in2
d. 83.42 in2
a. 41.71 in2
b. 95.20 in2
c. 89.10 in2
d. 83.42 in2
1 answer:
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Answer:
a.
b.
c.
d.
Step-by-step explanation:
The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.
So, the PMF of X is equal to:
Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:
For binomial distribution:
Therefore, the company can expect to win 0.3 bids and it is calculated as:
Additionally, the standard deviation of the number of bids won is:
Finally, the probability to won 1, 2 or 3 bids is equal to:
So, the expected profit for the company is equal to:
Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.