Answer:
0.014 or 1.4% of connectors fail during the warranty period.
Step-by-step explanation:
Consider the provided information.
Let: D = electrical connector is dry
D' = electrical connector is not kept dry (i.e., is wet)
F = connector fails during warranty period
F' = connector does not fail during warranty period
90% of the connectors are kept dry
That means P(D)=0.9
10% are wet,
P(D')=0.1
The probability is 1% that an electrical connector that is kept dry fails during the warranty period, i.e.
P(F|D)=0.01
If the connector is ever wet, the probability of a failure during the warranty period is 5%, i.e.
P(F|D')=0.05
![P(F)=P(D)\times P(F|D)+P(D')\times P(F|D')\\P(F)=0.9\times 0.01+0.1\times 0.05\\P(F)=0.014](https://tex.z-dn.net/?f=P%28F%29%3DP%28D%29%5Ctimes%20P%28F%7CD%29%2BP%28D%27%29%5Ctimes%20P%28F%7CD%27%29%5C%5CP%28F%29%3D0.9%5Ctimes%200.01%2B0.1%5Ctimes%200.05%5C%5CP%28F%29%3D0.014)
Hence, 0.014 or 1.4% of connectors fail during the warranty period.
Hermione has 7-$5 dollar bills and 5-$1 dollar bills.
Given:
Total forest area = 43,000
Old growth trees forest = 0.2%
To find:
The area of the old growth trees.
Solution:
We have,
Total forest area = 43,000
Old growth trees forest = 0.2%
Area of the old growth trees = 0.2% of 43,000
= ![\dfrac{0.2}{100}\times 43000](https://tex.z-dn.net/?f=%5Cdfrac%7B0.2%7D%7B100%7D%5Ctimes%2043000)
= ![86](https://tex.z-dn.net/?f=86)
Therefore, the area of the old growth trees is 86 acres.
Answer:
(`1/4)^4
Step-by-step explanation:
Since the probability of landing on a head is theoretically the same as that of landing on tails, and since the four flips are entirely independent of one another, the desired probability is
(1/2)^4 or 1/16