The attached diagram represents the tree diagram for three consecutive mornings.
<h3>How to draw the tree diagram?</h3>
The probability of arriving on time is given as:
P(On Time) = 65%
Assume that the bus would definitely show up.
Then it means that the event is a binomial event and the possible outcomes are:
On Time and Late
The above means that the number of possible outcomes is 2.
For three consecutive mornings, the total outcome is:
Total = 2³
Evaluate
Total = 8
This means that the tree diagram would have 8 outcomes
Next, we draw the tree diagram (see attachment)
Read more about tree diagrams at:
brainly.com/question/9178814
#SPJ1
Answer:
P(X = 0) = 0.1897
P(X = 1) = 0.3910
P(X = 2) = 0.3021
P(X = 3) = 0.1038
P(X = 4) = 0.0134
Step-by-step explanation:
For each owner, there are only two possible outcomes. Either they are insured against an earthquake, or they are not. The probability of a homeowner being insured against an earthquake is independent of other homeowners. So the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Suppose that in one metropolitan area, the chance a homeowner is insured against an earthquake is 0.34.
This means that 
A sample of four homeowners are to be selected at random.
This means that 
(a) Find the probability mass function of X. (Round your answers to four decimal places.)
The pmf is the probability of each outcome.
So






Answer:
q = -13.2
Step-by-step explanation:
9.7q = 9.1q - 7.92
Subtract 9.1q from both sides.
0.6q = -7.92
Divide both sides by 0.6
q = -13.2
Double check your work.
9.7(-13.2) = 9.1(-13.2) - 7.92
-128.04 = -120.12 - 7.92
-128.04 = -128.04
There are no answers dude