5. Yes 1,2, or 3 hours
6. No, because the distance will never change and there aren't multiple values
7. Yes, yes or no (a person could be colorblind)
8. Yes, yes or no (a person could be colorblind)
9. Yes: Rap, country, pop, classical, etc
Answer:
0.0114
Step-by-step explanation:
(a) What is the probability of a fatal accident over a lifetime?
Suppose A be the event of a fatal accident occurring in a single trip.
Given that:
P(1 single auto trip in the United States result in a fatality) = P(A)
Then;
P(A) = 1/4011000
P(A) = 2.493 × 10⁻⁷
Now;
P(1 single auto trip in the United States NOT resulting in a fatality) is:
P(
) = 1 - P(A)
P(
) = 1 - 2.493 × 10⁻⁷
P(
) = 0.9999997507
However, P(fatal accident over a lifetime) = P(at least 1 fatal accident in lifetime i.e. 46000 trips)
= 1 - P(NO fatal accidents in 46000 trips)
Similarly,
P(No fatal accidents over a lifetime) = P(No fatal accident in the 46000 trips) = P(No fatality on the 1st trip and No fatality on the 2nd trip ... and no fatality on the 45999 trip and no fatality on the 46000 trip)
= ![[P(\overline A)] ^{46000} \ \ \ (since \ trips \ are \ independent \ events)](https://tex.z-dn.net/?f=%5BP%28%5Coverline%20A%29%5D%20%5E%7B46000%7D%20%20%5C%20%5C%20%5C%20%20%28since%20%5C%20%20trips%20%5C%20are%20%5C%20independent%20%5C%20events%29)
= ![[0.9999997507]^{46000}](https://tex.z-dn.net/?f=%5B0.9999997507%5D%5E%7B46000%7D)
= 0.9885977032
Finally;
P(fatal accident over a lifetime) = 1 - 0.9885977032
P(fatal accident over a lifetime) = 0.0114022968
P(fatal accident over a lifetime) ≅ 0.0114
Answer:
a) 5 pizzas need to be ordered and half of a pizza will be left over aka 0.5
b) $45
Step-by-step explanation:
Answer:
28.5714%
Step-by-step explanation:
all of the kids who play basketball could play baseball as well. so 6/21 equals 28.5714%
A fisherman travels downstream at full speed to his favorite fishing spot.
<span>The stream is running at a rate of 5 miles per hour, and he takes an hour to get to the fishing hole. </span>
<span>He catches 5 fish and calls it a day. </span>
<span>He takes twice as long at full speed to get back to the dock going against the current. </span>
<span>(x + 5)/(x - 5) = 2 </span>
<span>x = 15
</span><span>The full speed of the fishing boat is 15 miles per hour.</span>