Answer:
Step-by-step explanation:
Given that,
- p ( probability that the child has disease) = 25% = 0.25
- n = number of children = 3
The probability mass function of binomial distribution is,
- (P = X) = (nCx) X (p)^x X (1 - p)^n-x ; x = 0, 1, 2 ,3
- = 3Cx X (0.25)^x X (1 - 0.25)^3-x ; ( n = 3, p = 0.25
a) P ( two will have disease)
p ( X = 2) = 3C2 X (0.250^2 X (1 - 0.25) ^3-2
= 0.1406
b) P ( none will have disease)
p (X = 0) = 3C0 X (0.25)^0 X (1 - 0.25)^3-0
= 0.4219
c) P (neither having the disease nor being a carrier) = 25% = 0.25
The probability that at least one will neither having the disease nor being a carrier ;
P(X> or equals to) = 1 - P(X < 1)
= 1 - P( X = 0)
= 1 - 3C0 X (0.25)^0 X (1 - 0.25)^3-0
= 0.5781
d) p( the first child with the disease will the be 3rd child)
P(X = x) = (1-p)^x-1 X p
p( X= x) = ( 1 - 0.25 )^x -1 X 0.25
for third child = P(X = 3) = (1 - 0.25)^3-1 X (0.25)
= 0.1406
Answer:
A measures 72 and B measures 108
Step-by-step explanation:
If the angles are supplementary, that means that they add up to equal 180. 3x + 12 + 4x + 28 = 180. Doing some algebra there gives you that 7x = 140 and x = 20. Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108. And of course, 108 + 72 = 180.
Let us start with something we know is true.
5 > 3
That reads as 5 is greater than 3. Anyone will tell you that that is a true statement.
But what happens when you multiply this result by - 10
5 * -10 > 3 * - 10
- 50 > - 30 is that true? If you are not sure, think it terms of money. Which would you rather be
owing 50 dollars to some or owing 30 dollars to someone? Of course if you are careful with money you would likely say neither. But this is math so you have to choose.
You likely would have to say you would want to owe 30 dollars. That makes - 30 larger than - 50. So a true statement has now become a false one. Check with me if you don't understand. I'd like to know if you accept my explanation.
Answer:
×=12
Step-by-step explanation:
30+6= 36
36÷3=12
hope it helps
Answer:
Answer to Suppose that IQ scores have a bell-shaped distribution with a mean of ... Question: Suppose That IQ Scores Have A Bell-shaped Distribution With A Mean Of 105 And A Standard Deviation Of 15. ... Please Do Not Round Your Answer. ... Using the empirical rule, what percentage of IQ scores are greater than 120?Step-by-step explanation:
