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Colt1911 [192]
3 years ago
7

g A coin where the probability of heads is 0.3 is flipped 2000 times. Use the normal approximation to the binomial distribution

to find the probability of getting between 575 and 618 heads (inclusive).
Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Title:

<h2>See the explanation.</h2>

Step-by-step explanation:

The coin is to be flipped 2000 times.

The probability of getting a head is 0.3.

It is given that, we need to get a head in between 575 and 618 times.

If we will get 575 heads then we will get (2000 - 575) tails.

Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.

The probability of not getting a head is (1 - 0.3) = 0.7.

The probability of getting n times head is ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}.

The required probability is ∑ ^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}, where 575 \leq n \leq 618.

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Svetach [21]

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

3w^{2} +1 and 10w+8.

If we were to replace w with 4 and calculate, we will find the answer:

3*4^{2}  +1=3*16+1=48+1=49

10*4+8=40+8=48

Since the first expression, 3w^{2} +1, is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

6 0
3 years ago
HELP ME PLZ ITS DUE SOON THX
Ad libitum [116K]

Answer:

1.1000

2.3/4

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Step-by-step explanation:

6 0
3 years ago
In a certain Algebra 2 class of 29 students, 13 of them play basketball and 7 of them play baseball. There are 4 students who pl
Inessa [10]

Answer:

16/29

Step-by-step explanation:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(basketball or baseball) = P(basketball) + P(baseball) - P(both)

= (13/29) + (7/29) - (4/29)

= 16/29

The probability that a randomly chosen student plays either sport is 16/29.

3 0
4 years ago
Find the product.
IrinaK [193]
(2n+1)(2n-1)(n+5)
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3 years ago
Use the side-splitter theorem to solve for x in the triangle below.
fiasKO [112]

Answer:

x = 7

Step-by-step explanation:

According to the side-splitter theorem, the two sides of the triangle is divided proportionally if the line that intersects both sides is parallel to the third side of the ∆.

Therefore, based on this theorem, we would have the following:

\frac{x}{21} = \frac{8}{24}

Solve for x

\frac{x}{21} = \frac{1}{3}

Multiply both sides by 21

\frac{x}{21}*21 = \frac{1}{3}*21

x = \frac{21}{3}

x = 7

8 0
3 years ago
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