There are 7 charitable donors at a gala - 6 "typical" donors and 1 "generous" donor. everytime a "typical" charitable donor is approached for money, she/he will donate (with equal probability) either $0, $1, $2, $4, or $8. everytime the "generous" charitable donor is approached, she/he will always give $8. you and your friend approach the same randomly selected charitable donor and both ask for money, and you both receive $8. what is the probability that the charitable donor is the "generous" one?

9%

Step-by-step explanation:

The probability is equal to the probability of get $8 in the first approach times the probability of approach to the generous one plus the probability of  get $8 in the second times the probability of approach to the generous one. Like this event are independent (the first approach will no change the probability of the second approach). Then we can just multiply times 2 the probability of get $8 in an approach times the probability of approach to the generous one.

P (to get $8 in two approach and get the $8 in both cases for the generous one)  = 2 * P (obtain $8 in an approach) * P (to approach to charity generous)

This will be the probability of approach to each charity and get $8

P (obtain $8 in a approach)  = P (obtain $8 in an approach to charity 1) + P (obtain $8 in an approach to charity 2) + P (obtain $8 in an approach to charity 3) + P (obtain $8 in an approach to charity 4) + P (obtain $8 in an approach to charity 5) + P (obtain $8 in an approach to charity 6) + P (obtain $8 in an approach to charity 7)

The probability of obtain $8 in an approach to charity 1,2,3,4,5 or 6 is the same, so

P (obtain $8 in a approach)  =  6* P (obtain $8 in an approach to charity 1,2,3,4,5, or 6) + P (obtain $8 in an approach to charity 7)

This will be the probability to approach to one of this charity , for the probability of obtain $8 in that approach

P (obtain $8 in an approach to charity 1,2,3,4,5, or 6)= P (to approach to charity 1,2,3,4,5, or 6) * P (obtain $8)

There are 7 charity, so the probability to approach to one of them is

The charity 1,2,3,4,5, or 6, will donate $0, $1, $2, $4, or $8 (5 options), so the probability to donate $8 is

P (obtain $8 in an approach to charity 1,2,3,4,5, or 6)= P (to approach to charity 1,2,3,4,5, or 6) * P (obtain $8) = =

This will be the probability to approach to charity 7, for the probability of obtain $8 in that approach

P (obtain $8 in an approach to charity 7)= P (to approach to charity 7) * P (obtain $8)

There are 7 charity, so the probability to approach to one of them is

The charity 7 will donate $8 in each approach so the probability is 100 %

P (obtain $8 in an approach to charity 7)= P (to approach to charity 7) * P (obtain $8) =

P (obtain $8 in a approach)  =  6* P (obtain $8 in an approach to charity 1,2,3,4,5, or 6) + P (obtain $8 in an approach to charity 7)

P (obtain $8 in a approach)  =  6* +

P (obtain $8 in a approach)  =

P (to get $8 in two approach and get the $8 in both cases for the generous one)  = 2 * P (obtain $8 in an approach) * P (to approach to charity generous)  = 2 *   * = = 0.089

So the probability to get $8 in two approach and get the $8 in both cases for the generous one is around 9%

isi

step-by-step explanation:

use that smart brain

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: