Answer: 0.25
Step-by-step explanation:
The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.
p = 25/100 = 0.25
If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%
The probability that the next customer will purchase a computer, computed using the relative frequency method, is 0.25 or 25%.
The subject at hand relates to the basic concept of probability, specifically the method of computing probability using the relative frequency approach. This is a common topic within high school Mathematics, specifically within statistical studies.
To calculate the relative frequency probability of an event, one divides the number of times the event occurred by the total number of trials. In this case, the event is a customer purchasing a computer from the shop. Given that the event has occurred 25 times out of the last 100 trials (customers entering the shop), the relative frequency probability can be computed as follows:
Probability = (Number of times event occurred) / (Total number of trials) = 25 / 100 = 0.25 (or 25% when expressed as a percentage).
Therefore, using the relative frequency method of computing probability, the probability that the next customer will purchase a computer is 0.25 or 25%.
#SPJ3
Answer:30
Step-by-step explanation: its 30 because you divide 127 1/2 or 127.5 by 4.25 or 4 1/4.
Answer:
Step-by-step explanation:
a) AB=2AM
A__________M__________B
If M is the midpoint of AB, then AM = MB
Since AM=MB MB=2AM
Therefore AB=2AM
b)AM=1/2MB
sincs M is midpoint of AB.
then AM=BM....(1)
and also AM+BM=AB
AM+AM=AB from (1)..AM=BM
2AM=AB
AM=1/2AB
Completed question:
In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?
Answer:
0.557
Step-by-step explanation:
For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:
0.873x0.873x0.873x...x0.873 = 0.873⁶ = 0.443
Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:
1 - 0.443
0.557
Old sales revenue (mil. $) 5.2 6.5 7.2 5.7 7.6
New sales revenue (mil. $) 6.4 7.8 6.8 6.5 8.2
Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month.
(a) At α = 0.05, test H0: μ2 ≤ μ1 versus H1: μ2 > μ1. Sketch the test. Interpret your result.
(b)Sketch and find the p‐value of the test. Would you reject H0 if α = 0.01?
Answer:
a)
So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.
b) The p value is illustrated on the figure attached.
If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.
Step-by-step explanation:
Part a
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
1=test value old , 2 = test value new
1: 5.2 6.5 7.2 5.7 7.6
2: 6.4 7.8 6.8 6.5 8.2
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
The first step is calculate the difference and we obtain this:
d: 1.2, 1.3, -0.4, 0.8, 0.6
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a right tailed test the p value is given by:
So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.
Part b
The p value is illustrated on the figure attached.
If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.
Answer:
thinks it's the second one
Step-by-step explanation:
11-4=7
135-5=130