MATH homework help!!! 7 questions!!!
MATH homework help!!! 7 questions!!!
1.The probability that a randomly selected 5-year-old garter snake will live to be 6 years old is 0.74918. (a) what is the probability that two randomly selected 5-year-old male garter snake will live to be 6 years old? (b) what is the probability that six randomly selected 5-year-old male garter snakes will live to bw 6 years old? ( Round to 5 decimal places as needed)
2 For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of eachother and that each component has a 0.20 probability of failure. Complete parts (a) through (d)
Would it be usual to observe one component fail?
Yes
No
Would it be unusual to observe two components fail?
Yes
No
What is the probability that a parallel structure with 2 identical components will succeed is ? ____ (type an integer or a decimal. Do not round)
How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9999
3.Among 34- to 39-year-olds, 39% say they have driven a car while under the influence of sugar. Suppose two 34- to 39-year-olds are selected at random.
What is the probability that at least one has NOT driven a car while under the influence of sugar?
What is the probability that at least one has driven a car while under the influence of sugar?
4. Suppose that E and F are two events and that P(E and F)= 0.1 and P(E)=0.2 what is P(F|E)?
5. Suppose that two cards are randomly selected from a standard 52-card deck.
What is the probability that the first card is a club and the second is a club if the sampling is done without replacement?
If the sampling is done with replacement, the probability that the first card is a club and the second card is a club is ____ ?
6. Suppose that events E and F are independent, P(E)= 0.7, and P(F)= 0.9. What is the P(E and F)
The probability P(E and F) is _____
7.
Suppose the data to the right represents the survival data for the certain ship that sank. The males are adult males and the females are adult females complete parts (a) through (i)
Male Female Child Total
Survived 342 497 64 903
Died 1,436 86 59 1,581
Total 1,778 583 123 2,484
(a) If a passenger is selected at random, what is the probability that the passenger survived?
nothing
(Round to three decimal places as needed.)
(b) If a passenger is selected at random, what is the probability that the passenger was female?
nothing
(Round to three decimal places as needed.)
(c) If a passenger is selected at random, what is the probability that the passenger was female or a child?
nothing
(Round to three decimal places as needed.)
(d) If a passenger is selected at random, what is the probability that the passenger was female and survived?
nothing
(Round to three decimal places as needed.)
(e) If a passenger is selected at random, what is the probability that the passenger was female or survived?
(f) If a female passenger is selected at random, what is the probability that she survived?
nothing
(Round to three decimal places as needed.)
(g) If a child passenger is selected at random, what is the probability that the child survived?
nothing
(Round to three decimal places as needed.)
(h) If a male passenger is selected at random, what is the probability that he survived?
nothing
(Round to three decimal places as needed.)
(i) Do you think the adage “women and children first” was adhered to on this ship?
A.
Yes, because the survival rate for men was much lower than the survival rates for women and children.
B.
No, because the survival rate for men was about the same as the survival rates for women and children.
C.
No, because the survival rate for men was higher than the survival rates for women and children.
(j) Suppose two females are randomly selected. What is the probability both survived?
_____
(Round to three decimal places as needed.)
9.
