Answer:
52.5% probability that A occurs given B occurs
Step-by-step explanation:
Suppose we have two events, A and B, the conditional probability formula is:
In which
P(A|B) is the probability of A happening given that B happened.
is the probability of both A and B happening.
P(B) is the probability of B happening.
In this problem, we have that:
So
52.5% probability that A occurs given B occurs
Answer:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
Step-by-step explanation:
Data given
n=300 represent the random sample size
estimated proportion of people with cats
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Null and alternative hypothesis
We want to test if the true proportion of people with cats is higher than 0.4, so then the best alternative is:
Null hypothesis:
Alternative hypothesis:
H 0 : p ≤ 0.4 H a : p > 0.4
And based on the alternative hypothesis we can conclude that we have a right tailed test
The statistic is given by:
(1)
Replacing we got:
Answer:
Evergreen Eagle can will fly 1.56 km in 20 minutes.
Step-by-step explanation:
Speed of Evergreen Eagle =
=
= 13 meters per second
With this speed Eagle can fly the distance in 20 minutes Or 120 seconds
= Speed × Time
= 13 × 120
= 1560 meters
Since, 1000 meters = 1 Km
1 meter = km
Therefore, 1560 meters =
= 1.56 km
Therefore, Evergreen Eagle can will fly 1.56 km in 20 minutes.