One over fifthteen...................................
Answer:
Project A : $58,000
Project B: $52800
Project A should be selected as it has a higher expected profit value than project B
Step-by-step explanation:
Given the following:
PROJECT A:
Profit : ---------50000--90,000--10,000
Probability: ----0.6-------0.3--------0.1
PROJECT B:
Loss of 20,000 = -20,000 in profit terms
Profit : -----100,000--64,000--(-20,000)
Probability: ----0.1-------0.7--------0.2
Expected profit:
Profit value * probability of profit
Expected profit on project A:
[(50000*0.6)+(90000*0.3)+(10000*0.1)
30000 + 27000 + 1000 = $58000
Expected profit on project B:
[(100000*0.1)+(64000*0.7)+(-20000*0.2)
10000 + 44800 - 4000 = $50800
Project A should be selected as it has a higher expected profit value than project B
Answer:
m= 72/37
Step-by-step explanation:
36 x 2 - m = 6^2m
Multiply the numbers:
72 - m = 6^2m - 72
Subtract 72 from both sides:
-m - 36m = 36m - 72 - 36m
Simplify:
37m= -72
Divide both sides by 37:
-37m/-37 = -72/-37
Simplify:
72/37
Answer:
41.64% probability that a butterfly will live between 12.04 and 18.38 days.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the probability that a butterfly will live between 12.04 and 18.38 days.
This is the pvalue of Z when X = 18.38 subtracted by the pvalue of Z when X = 12.04. So
X = 18.38



has a pvalue of 0.4168
X = 12.04



has a pvalue of 0.0004
0.4168 - 0.0004 = 0.4164
41.64% probability that a butterfly will live between 12.04 and 18.38 days.