Answer:
hello your question is incomplete attached below is the missing part of the question
answer : r = - 0.161 ( iii )
Step-by-step explanation:
The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161 and this is because the data points are showing a less negative correlation
Answer:
a) The expected value is given by:
and the variance is given by:
b)
And we can find this probability with the following Excel code:
=1-BINOM.DIST(25,50,0.4,TRUE)
And we got:
c) 1) Random sample (assumed)
2) np= 50*0.4= 20 >10
n(1-p) =50*0.6= 30>10
3) Independence (assumed)
Since the 3 conditions are satisfied we can use the normal approximation:
d)
e)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
The expected value is given by:
and the variance is given by:
Part b
For this case we want to find this probability:
And we can find this probability with the following Excel code:
=1-BINOM.DIST(25,50,0.4,TRUE)
And we got:
Part c
1) Random sample (assumed)
2) np= 50*0.4= 20 >10
n(1-p) =50*0.6= 30>10
3) Independence (assumed)
Since the 3 conditions are satisfied we can use the normal approximation:
Part d
We want this probability:
Part e
For this case we use the continuity correction and we have this:
a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6 5
= 30 4
= 360 2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5 4
= 20 3
= 120 1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3 2 6 ways to arrange 3 couples in a row, the husband always to the left