Answer:
a)=0.6826
b)=0.6331
c))=0.1662
d)0.0016
Step-by-step explanation:
Binomial Distribution refers to the distribution in whereby only two possible outcomes. It takes place whether the event is happening or not happening , irrespective of the number of trials.
Given:
p = 0.6, q = 1 - p = 0.4
a)P(At least 3 out of 5 days) = P(3) + P(4) + P(5)
P(X≥3)=P(X=3)+P(X=4)+P(X=5)=5C3×0.63×0.45−3+5C4×0.64×0.45−4+5C5×0.65×0.45−5
10×0.63×0.45- 3+5×0.64×0.45 - 4+1×0.65×0.45 - 5
=0.6826
(b)P(At least 6 out of 10 days)
p(X = 6) + p(X = 7) + p(X = 8) + p(X = 9) + p(X = 10) =
0.2508 + 0.2150 + 0.1209 + 0.0403 + 0.0061 = 0.6331
(c)P(5 out of 10 days )
checking the binomial distribution table
p(X < 5) =
p(X = 0) + p(X = 1) + p(X = 2) + p(X = 3) + p(X = 4) =
0.0001 + 0.0016 + 0.0106 + 0.0425 + 0.1114 =0.1663
(d)
P(X<6)=0.0016
P(X<6)=0.0016
from answer from option D, it shows that there is 0.16% chance distribution from the 20 random sample,then it can be concluded that P<0.60
The center would be (5, 7), and the radius would be √(12-7)²+(10-5)² = 5√2.
Standard form is (x-h)²+(y-k)²=r², where (h, k) are the coordinates for the center of the circle, and r is the radius.
So we get (x-5)²+(y-7)²=50.
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Hope this helps!
we are given
where
price p( in dollars) of a new smartphone
t is the number of months since January
now, we can solve for t
step-1:
Add both sides by 4t^2
step-2:
Subtract both sides by p
step-3:
divide both sides by 4
step-4:
Take sqrt both sides
so, we get
..............Answer
Answer:
CONCAVE I hope its right not sure
Step-by-step explanation:
To answer this, set up a system of equations. What we know is that
5x + 2y = 100
And...
x+y=38
x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions
In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).
So,
x+y=38
Subtract x from both sides
y=38-x
Now, plug (38-x) in as y in the other equation.
5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8
Now that you know that x=8, you can solve for y.
5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
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2 2
y=30
X=8
Y=30
There are 8 five point questions on the test and 30 two point questions on the test