There are 10 students in class and the number of siblings in their families are given by {1,1,1,1,2,3,3,4,4,4}. Consider the exp
eriment of randomly choosing one of these students and letting Y denote the number of siblings in this chosen student’s family. (a) Find the probability mass function (pmf) of Y and plot this pmf. (b) Find Pr{Y > 2}. (c) Find the mean, µ, of Y . (d) Find the standard deviation, σ, of Y . (e) Find the exact value of P(µ−2σ ≤ Y ≤ µ + 2σ}.
1 answer:
Answer:
a. Check the attached image
b. The Pr(Y > 2) = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. The exact value is 1 because it is certain from the given data that any probability will fall within that range.
Step-by-step explanation:
a. An image showing the step by step solution is attached.
b. P(Y > 2) = P(3) + P(4)
= 2/10 + 3/10 = 5/10 = ½
c. The mean is 2.4
d. The standard deviation is: 2.72
e. Check the attached image for the steps.
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Given:
For every 3 seeds Lara planted, only 2 seeds grew.
Altogether, 12 seeds grew.
To find:
The number of total seeds planted by Lara.
Solution:
It is given that for every 3 seeds Lara planted, only 2 seeds grew. It means the ratio of total seeds planted to seeds grew is 3:2.
Altogether, 12 seeds grew.
Let x be the number of total seeds planted by Lara. Then,
Therefore, the total number of seeds planter by Lara is 18.
Answer:
$45 after the discount
Step-by-step explanation:
Set up a proportion.
$50 is the total amount and make the 10% a decimal
x(100) = 50(10)
100 = 500
100 ÷ 500
x = 5 <-- We have to subtract this amount from the total
$50 - $5 = $45 <-- total after the discount
<u>Hope this helps!!</u>