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MatroZZZ [7]
2 years ago
13

XClusive! Why or why not?

Mathematics
1 answer:
Furkat [3]2 years ago
6 0

wearing because of the division of running man.

Step-by-step explanation:

The statistics are divided by 29 to get the answer in cubic cm.

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Suppose you toss a fair coin 10 times, let X denote the number of heads. (a) What is the probability that X=5? (b) What is the p
zubka84 [21]

Answer:  The required answers are

(a) 0.25,    (b) 0.62,    (c) 6.

Step-by-step explanation:  Given that we toss a fair coin 10 times and X denote the number of heads.

We are to find

(a) the probability that X=5

(b) the probability that X greater or equal than 5

(c) the minimum value of a such that P(X ≤ a) > 0.8.

We know that the probability of getting r heads out of n tosses in a toss of coin is given by the formula of binomial distribution as follows :

P(X=r)=^nC_r\left(\dfrac{1}{2}\right)^r\left(\dfrac{1}{2}\right)^{n-r}.

(a) The probability of getting 5 heads is given by

P(X=5)\\\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}\\\\\\=\dfrac{10!}{5!(10-5)!}\dfrac{1}{2^{10}}\\\\\\=0.24609\\\\\sim0.25.

(b) The probability of getting 5 or more than 5 heads is

P(X\geq 5)\\\\=P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\=^{10}C_5\left(\dfrac{1}{2}\right)^5\left(\dfrac{1}{2}\right)^{10-5}+^{10}C_6\left(\dfrac{1}{2}\right)^6\left(\dfrac{1}{2}\right)^{10-6}+^{10}C_7\left(\dfrac{1}{2}\right)^7\left(\dfrac{1}{2}\right)^{10-7}+^{10}C_8\left(\dfrac{1}{2}\right)^8\left(\dfrac{1}{2}\right)^{10-8}+^{10}C_9\left(\dfrac{1}{2}\right)^9\left(\dfrac{1}{2}\right)^{10-9}+^{10}C_{10}\left(\dfrac{1}{2}\right)^{10}\left(\dfrac{1}{2}\right)^{10-10}\\\\\\=0.24609+0.20507+0.11718+0.04394+0.0097+0.00097\\\\=0.62295\\\\\sim 0.62.

(c) Proceeding as in parts (a) and (b), we see that

if a = 10, then

P(X\leq 0)=0.00097,\\\\P(X\leq 1)=0.01067,\\\\P(X\leq 2)=0.05461,\\\\P(X\leq 3)=0.17179,\\\\P(X\leq 4)=0.37686,\\\\P(X\leq 5)=0.62295,\\\\P(X\leq 6)=0.82802.

Therefore, the minimum value of a is 6.

Hence, all the questions are answered.

3 0
3 years ago
Surface area of hemisphere with diameter of 18
saul85 [17]

Answer:

In terms of pi: 243\pi

in decimal form: 763.407

Step-by-step explanation:

to find surface area of a hemisphere the formula is,

3\pi r^{2}

diameter (d) = 18

radius = d / 2 = 18 / 2

radius = 9

3\pi (9)^{2} \\3\pi (81)\\243\pi \\OR\\763.407

6 0
2 years ago
BRAINLIEST IF RIGHT Jessica is decorating a birthday card with glitter shapes.
TiliK225 [7]

Answer:

HUH!!!??

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the answer ​
aliya0001 [1]

Answer:

(4,5)

(6,2)

(2,4)

Step-by-step explanation:

just add 3 to x and 1 to y

3 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (8, 4) and (5, 2).
Troyanec [42]

If u you do the slope formula...(m=y2-y1/x2-x1)

2-4/5-8
-2/-3=2/3
Therefore the slope would be 2/3
Btw can u plz mark this answer the brainliest
8 0
3 years ago
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