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
antoniya [11.8K]
3 years ago
8

For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5

is rolled. n = 50 Correct: Your answer is correct. p = 1/5 Incorrect: Your answer is incorrect. (b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win. n = 16 Correct: Your answer is correct. p = 1/100 Correct: Your answer is correct. (c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.μ =
Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

a) n = 50, p = \frac{1}{6}

b) n = 16, p = \frac{1}{100}

c) n = 26, p = 0.25, \mu = 6.5

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so n = 50.

Each roll can have 6 outcomes. So the probability that 5 is rolled is p = \frac{1}{6}

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so n = 16.

1 of 100 are winners. So p = \frac{1}{100}.

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so n = 26.

He wins 25% of the time, so p = 0.25

We have that \mu = np. So \mu = 26*0.25 = 6.5

You might be interested in
I need help<br> With this plz
s2008m [1.1K]

Answer:

The discount is the same.

Step-by-step explanation:

We need to find the ratios of both discounts.

41/50 = 61.5/75

If the question is True, this means that the ratios should be the same. So we have to cross multiply to find the answer.

75*41 = 50*61.5 = 3075

These two multiplication problems both equal 3075. Since the ratios are equal, the discounts are also equal.

4 0
3 years ago
X=5 and y=7 for algebraic expression 2(4x-3) + 6(3y-5)
garik1379 [7]

Answer:

130

Step-by-step explanation:

2(4x - 3) + 6(3y - 5)

2(4 × 5 - 3) + 6(3 × 7 - 5)

2(20 - 3) + 6(21 - 5)

2(17) + 6(16)

34 + 96

130

8 0
3 years ago
Read 2 more answers
PLEASEE HELPP WILL BRAINLIST Find the output when x = 0
atroni [7]

Answer:

output: 8

Step-by-step explanation:

since x=0, y would equal 8 and y is the output.

7 0
3 years ago
What is the equation of the line with an X intercept of negative 2 and Y intercept of one
forsale [732]

Answer:

y = 1/2x + 1

Step-by-step explanation:

Step 1: Find slope

(1-0)/(0+2) = 1/2

Step 2: Write equation

y = 1/2x + 1

8 0
3 years ago
At a chairity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. t
kaheart [24]

Answer: you could make a chart using guess and check

3 0
3 years ago
Other questions:
  • Select the graph of the equation below.<br> y= -1/4x^2+1
    6·1 answer
  • Simplify -(-2a + 13) + (-9a - 2) - (-7a - 3)
    13·2 answers
  • For questions 3 - 5, answer the questions about the equations.
    14·1 answer
  • Suppose a triangle with angles measuring 37°, 59°, and 84° is reflected across the y-axis of a coordinate grid. Which would be t
    11·1 answer
  • Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160
    15·2 answers
  • Write the decimal equivalent for each rational number. Use a bar over any repeating digits. 2/3 , 3/11 and 8 4/9
    7·1 answer
  • Is 1+3√15 rational number and why
    12·2 answers
  • By using the remainder theorem, determine the remainder when
    6·2 answers
  • Frank ate 2/8 of the apple pie and
    10·2 answers
  • There are 221 students on a field trip.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!