Answer:
Right of X = 635.5
Step-by-step explanation:
By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.
According to the rule of continuity;
P(X ≤ k) becomes P( X ≤ K + 0.5)
P(X < K) becomes P(X < K - 0.5)
P(X ≥ K) becomes P(X ≥ K - 0.5)
P(X > K) becomes P(X > K + 0.5)
P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)
From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.
Then we use the > sign.
∴
P(X > K ) becomes P(X > K + 0.5)
P(X > 635) becomes P(X > 635 + 0.5)
⇒ P(X > 635.5) tot the right.
Right of X = 635.5
Answer:
12
Step-by-step explanation:
For the top triangle, he has 3 options
3C1 = 3
For the middle one, he can't use the top triangle's colour, so 2 options
2C1 = 2
For the ones on sides of the middle one, 2 options each
2C1 × 2C1 = 4
3 × 2 × 2 × 2 = 24
These include all three outer ones same, so subtract 3
Also, these include 2 of the three outer ones same, so subtract:
3C2 × 3 = 9
24 - 3 - 9 = 12
Answer:
t+3r
Step-by-step explanation:
This is a one step solution
All you do is add like terms
In this case the only like terms are the varibles r
2r+(t+r)
so if you add all of the rs together there would be 3rs
So the rest of the problem would continue as normal while bringing the 3r to the end
t+3r
Answer:
The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.
Step-by-step explanation:
Each confidence interval has two bounds, the lower bound and the upper bound. The points estimate used to estimate the mean is the halfway point between those two bounds, that is, the sum of those two bounds divided by two.
In this problem, we have that:
Lower bound: 62.532
Upper bound: 76.478
Point estimate: (62.532 + 76.478)/2 = 69.505
The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.