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
guapka [62]
3 years ago
5

In a certain college, 33% of the physics majors belong to ethnic minorities. Find the probability of the event from a random sam

ple of 10 students who are physics majors.
Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

The probability that no more than 6 students belong to a ethnic minority is 0.9815.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that no more than 6 belong to an ethnic minority?</em>

We can model this with a random variable, with sample size n=10 and probability of success p=0.33.

The probability that k answers are guessed right in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{10}{k}\cdot0.33^k\cdot0.67^{10-k}

We have to calculate the probability that 6 or less students belong to a ethnic minority. This can be calculated as:

P(x\leq6)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)\\\\\\

P(x=0)=\dbinom{10}{0}\cdot0.33^{0}\cdot0.67^{10}=1\cdot1\cdot0.0182=0.0182\\\\\\P(x=1)=\dbinom{10}{1}\cdot0.33^{1}\cdot0.67^{9}=10\cdot0.33\cdot0.0272=0.0898\\\\\\P(x=2)=\dbinom{10}{2}\cdot0.33^{2}\cdot0.67^{8}=45\cdot0.1089\cdot0.0406=0.1990\\\\\\P(x=3)=\dbinom{10}{3}\cdot0.33^{3}\cdot0.67^{7}=120\cdot0.0359\cdot0.0606=0.2614\\\\\\

P(x=4)=\dbinom{10}{4}\cdot0.33^{4}\cdot0.67^{6}=210\cdot0.0119\cdot0.0905=0.2253\\\\\\P(x=5)=\dbinom{10}{5}\cdot0.33^{5}\cdot0.67^{5}=252\cdot0.0039\cdot0.135=0.1332\\\\\\P(x=6)=\dbinom{10}{6}\cdot0.33^{6}\cdot0.67^{4}=210\cdot0.0013\cdot0.2015=0.0547\\\\\\\\\\\\

P(x\leq6)=0.0182+0.0898+0.1990+0.2614+0.2253+0.1332+0.0547\\\\\\P(x\leq6)=0.9815

The probability that 6 or less students belong to a ethnic minority is 0.9815.

You might be interested in
The next number in series 7,9,13,29 is:​
Alex17521 [72]

Answer:

285

Step-by-step explanation:

9 = 7 + 2¹

13 = 9 + 2²

29 = 13 + 2⁴

285 = 29 + 2⁸

4 0
3 years ago
Find the value -2/3÷ 4/6. <br> A -1<br> B 4/9<br> C -9/4<br> D 1
Allushta [10]



Answer should be -1
4 0
3 years ago
Read 2 more answers
Membership warehouse clubs offer shoppers low​ prices, along with rewards of cash back on club purchases. If the yearly fee for
skad [1K]

a) plug in x =2700 into the given equation and solve for y

b) plug in y = 43 into the given equation and solve for x

c) plug in y = 0 into the given equation and solve for x

hope this helps.



7 0
3 years ago
A coat is priced at $50 the sale tax is 6.5% how much is the total price​
pickupchik [31]

Answer:

The answer is 53.25

Step-by-step explanation:

Before Tax Price: $50.00

Sale Tax: 6.50% or $3.25

After Tax Price: $53.25

7 0
2 years ago
WILL MARK YOU BRAINLIEST
slega [8]

Answer:

i need more details then this its not really explaining anything

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which is the simplified rational expression for 13k+9 _ 3k-7 _ 4k+32<br>2k​
    7·1 answer
  • Convert $8.25 per hour to dollars per year , with work
    12·1 answer
  • Solve the inequality for 4(x+1)&lt;-6
    5·2 answers
  • Find the product.<br> 5x2.2y2
    8·1 answer
  • The reactants of two reactions are shown.
    5·1 answer
  • How the use a parentheses in an equation affect the answer
    5·1 answer
  • Sarah is playing a video game that allows her to double her coins each hour. The game starts with 4 coins and Sarah plays the ga
    11·1 answer
  • 5 customers approach your truck each with a coupon for 2 dollars. The total amount of money they will spend can be represented b
    6·1 answer
  • What is the measure of ABC?
    15·1 answer
  • What is the volume of the cylinder? Round your answer to the nearest whole number??
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!