1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Likurg_2 [28]
3 years ago
9

Exercise 10.4.1: Bayes' Theorem - detecting a biased coin. About (a) Sally has two coins. The first coin is a fair coin and the

second coin is biased. The biased coin comes up heads with probability .75 and tails with probability .25. She selects a coin at random and flips the coin ten times. The results of the coin flips are mutually independent. The result of the 10 flips is: T,T,H,T,H,T,T,T,H,T. What is the probability that she selected the biased coin
Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

You might be interested in
Find the least number between 200 and 500 which leaves a remainder of 3 in each case when divided by 8 ,10,12 and 30.
Nookie1986 [14]
Well, that means that it is 3 more than a common multipule of 8,10,12, and 30
find the lcm

8=2*2*2
10=2*5
12=2*2*3
30=2*3*5
lcm=2*2*2*3*5=120
times it by 2 to get it between 200 and 500
240
add 3
243 is da number
5 0
3 years ago
Read 2 more answers
Evaluate the expression. 5^2−4⋅6+11 Enter your answer in the box.
mart [117]

Explanation:

This question's it's about the order of operations. P-parenthesis, E-exponents, M-multiply, D-divide, A-add, and S-subtract. It can also go left to right.

Do exponents first.

5^2=5*5=25

25-4*6+11

Then, multiply left to right.

4*6=24

25-24+11

And add/subtract left to right.

25-24=1

1+11=12

\boxed{=12}

Hope this helps!

Thanks!

Have a great day!


6 0
3 years ago
Can someone help me plz??
Brut [27]

Answer:

96π

Step-by-step explanation:

v =  \frac{1}{3}  {r}^{2} h\pi

V=96π

5 0
3 years ago
Does anyone know any 7th grade math? cus i really need help with this.
sladkih [1.3K]

Answer:

B

Step-by-step explanation:

All we have to do is plug in the values! 1/2(4)(10+5) will give us the area. Now we simplify!

2(15) = A

30=A

Our answer is B!

8 0
3 years ago
357288737773*34616 please help me
Oliga [24]

Answer:

12367906946750168

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the degree of the monomial.
    9·1 answer
  • Brandon and Nolan work at a furniture store. Brandon is paid $235 per week plus 6% of his total sales in dollars, x, which can b
    9·1 answer
  • A photography studio charges a sitting fee of $45 plus $2.50 per photograph. Another photography studio has no sitting fee but c
    6·2 answers
  • Rate:168 ounces 14 boxes How much does the spaghetti in each box weigh? Find the unit rate.The unit rate is 12ounces per box.you
    9·2 answers
  • I don't know how to answer this. ??
    6·2 answers
  • if you want to compare a fraction and a decimal, why do you need to convert them to same type of number?
    14·1 answer
  • the altitude is drawn from the vertex angle of an isosceles triangle and is 15 cm long, if the base of the triangle is 16 cm lon
    8·1 answer
  • GODD SOMEONE HELP ME RIGHT NOW PLEASE THIS IS DUE TODAY AND I AM DUM I GIVE POINTS AND BRAINLIEST JUST HELP MEEE
    10·1 answer
  • If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
    12·1 answer
  • Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!