The square root of zero is zero. Because 0 * 0 = 0.
The number of companies is quite large. That is, n is quite large.
The probability that a company declares bankruptcy is quite small , p is quite small.
np = the mean number of bankruptcies = 2 = a finite number.
Hence we can apply Poisson distribution for the data.
P (x=5 | mean =2) = e-2 25/5! = e-2 * 32/120 = 0.036089
Alternatively
=poisson(5,2,0) = 0.036089
P(x≥ 5 | mean =2) = 1- P( x ≤ 4) = 1- e-2 (1+2+22/2!+23/3!+24/4!)= 1-e-2 (1+2+2+8/6+16/24)= 1-e-2(7)
=0.052653
Alternatively
= 1- poisson(4,2,1) =0.052653
P(X > 5 | mean =2) = 1- p(x
≤ 5) =1- e-2 (1+2+22/2!+23/3!+24/4!+25/5!)= 1-e-2(7+4/15)
=0.016564
alternatively=1-poisson(5,2,1)
=0.016564
Since there is a 70% chance of making $12,000 so have that:
.70 × 12000 = 8400
Also, we have a 10% chance of breaking even, so we also have that:
.10 × 0 = 0
Finally, we have a 20% chance of losing $7400 so we also have that:
.20 × 7400 = 1480
Thus, putting it all together we have:
.70(12000) + .10(0) + .20(7400) = 8400 + 0 + 1480 = 9880
Therefore, the expected value is:
$9880
The volume of the cylinder with an hexagonal base is 1793.4 cm³
<h3 /><h3>How to find the volume of a cylinder?</h3>
The volume of a cylinder with a hexagonal base can be found as follows;
volume of the hexagonal cylinder = Bh
where
Therefore,
area of the hexagonal base = 1 / 2 pa
where
- p = perimeter
- a = apothem
Therefore,
Volume = (0.5 × 6.1 × 7 × 6) × 14
Therefore,
volume = 128.1 × 14
volume = 1793.4 cm³
learn more on hexagonal cylinder here: brainly.com/question/12477905
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