Answer:
0.0512
Step-by-step explanation:
We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.
The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x
In the above question,
x = 3
n = 5
p = probability for success = 0.2
q = probability for failures = 1 - 0.2 = 0.8
P(x) = (n!/(n - x) x!) × p^x × q ^n - x
P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3
P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²
P(3) = 10 × 0.008 × 0.64
P(3) = 0.0512
Using the data presented in the problem, you are asked to
predict the probability that future customers will cancel their preorders. To find
the probability, you have to divide the number of people who cancelled their
preorders by the total number of people who preordered.
35 people / 140 people = .25 or 25% probability that the
future customers will cancel their preorders.
<h2>
Answer:</h2>
The solution of the inequality is:
<h2>
Step-by-step explanation:</h2>
We are given a inequality in terms of variable x as:
Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.
We may simplify this inequality as follows:
On using the distributive property of multiplication in the left hand side of the inequality we have:
The solution is:
1. To calculate the mean, we first total the number of hours: The 20 students' total number of study hours
is 118.5 hours.
2. We divide by the number of samples to find the mean: <span>The sample mean is 5.93.</span>
3. Next, we find the SD: <span>Calculate the standard deviation.</span>
4. Then we divide SD by the number of samples to get the standard error: the standard error of the mean of the sample is 0.45.
5. Since for a 95% CI, the corresponding z-score is 1.96 ~ 2, we use the formula for CI: mean +/- z*SE, which is: The range in which 95% of the sample
mean occurs is 5.93 + 2 × 0.45 = 6.83 hours and 5.93 − 2 × 0.45 = 5.03
hours.
6. Finally: The range in which
95% of the sample mean occurs is (5.03, 6.83).
4x − 5y = 2
3x − y = 8
x= 38/11
y=26/11
4x-5y=2
3x − 8y = 4
x= -4/17
y=-10/17
4x - 5y =2
13x − 8y = 26
x= 38/11
y=26/11
4x-5y=2
10x + 3y = 15
x= 81/62
<span>y=20/31
</span><span>
Therefore, the correct answer is the last option.
</span><span>System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to three times the second equation in system 1. </span><span>
</span>
