Two professors are applying for grants. professor jane has a probability of 0.61 of being funded. professor joe has probability 0.27 of being funded. since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent. give your answer to four decimal places. a. what is the probability that both professors get their grants funded? give your answer to four decimal places. 0.1647 correct: your answer is correct. b. what is the probability that at least one of the professors will be funded? give your answer to four decimal places. 7153 correct: your answer is correct. c. what is the probability that professor jane is funded but professor joe is not? give your answer to four decimal places.

Step-by-step explanation:

By definition, if two event and are independent, then

. ( is the probability that the outcome of both event and event are true.)

Since the outcome of these two events are independent,

.

The logic not operator or the prime superscript denotes that an event does not happen.  

.

.

Since the two events and , and are also independent. Probability that neither professor got funded:

.

Probability that at least one professor got funded- in other words, it is not true that neither professor got funded:

.

Similarly, since the two events and , and are also independent. Probability that Jane but not Joe got funded:

.

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.