Answer:
The probability that exactly one photo detector of a pair is acceptable is
.
Step-by-step explanation:
Let the A = first photo detector is acceptable and B = second photo detector is acceptable .
The information provided is:

- The law of total probability states that:

Using the law of total probability determine the probability of B as follows:
- The addition rule of probability is:

Compute the probability that exactly one photo detector of a pair is acceptable using the addition rule of probability as follows:
![P(A\cup B) = P(A) + P(B) - P(A\cap B)\\=P(A) + P(B) - P(B|A)P(A)\\=\frac{3}{5} +\frac{16}{25} -[\frac{4}{5}\times\frac{3}{5}] \\=\frac{3}{5} +\frac{16}{25}-\frac{12}{25}\\=\frac{15+16-12}{25}\\= \frac{19}{25}](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%5Ccap%20B%29%5C%5C%3DP%28A%29%20%2B%20P%28B%29%20-%20P%28B%7CA%29P%28A%29%5C%5C%3D%5Cfrac%7B3%7D%7B5%7D%20%2B%5Cfrac%7B16%7D%7B25%7D%20-%5B%5Cfrac%7B4%7D%7B5%7D%5Ctimes%5Cfrac%7B3%7D%7B5%7D%5D%20%20%5C%5C%3D%5Cfrac%7B3%7D%7B5%7D%20%2B%5Cfrac%7B16%7D%7B25%7D-%5Cfrac%7B12%7D%7B25%7D%5C%5C%3D%5Cfrac%7B15%2B16-12%7D%7B25%7D%5C%5C%3D%20%5Cfrac%7B19%7D%7B25%7D)
Thus, the probability that exactly one photo detector of a pair is acceptable is
.
Answer:
−8x+6y−12
Step-by-step explanation:
Distribute:
=(2)(4)+(2)(−2x)+(2)(y)+(−4)(5)+(−4)(x)+(−4)(−y)
=8+−4x+2y+−20+−4x+4y
Combine Like Terms:
=8+−4x+2y+−20+−4x+4y
=(−4x+−4x)+(2y+4y)+(8+−20)
=−8x+6y+−12
<span>A(n) = 50 x (0.52)n-1; 13.52 cm
</span>
Answer: x=−2
Step-by-step explanation:
Answer:
Find the percent of the youths surveyed prefer reading printed books
We know that
38 youths like reading book preference
Total = Book Preference+Print Electronic
=35+38=73
Percentage=38/73 × 100%= 52%