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
ICE Princess25 [194]
3 years ago
13

A school newspaper reporter decides to randomly survey 15 students to see if they will attend Tet festivities this year. Based o

n past years, she knows that 24% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.
Find the probability that at most 4 students will attend. (Round your answer to four decimal places.)
Mathematics
1 answer:
swat323 years ago
8 0

Answer:

0.70319018

Step-by-step explanation:

Given the following:

Number of students surveyed (n) = 15

Probability of attending tet festival (p) = 24% =0.24

Therefore,

Probability of not attending (1 - p) = (1 - 0.24) = 0.76.

The probability that at most 4 students will attend can be obtained using the binomial probability relation:

p(x) = nCx * p^x * (1 - p)^(n-x)

At most 4 students means:

p(x=0) + p(x=1) + p(x=2) + p(x=3) + p(x=4)

p(x=0) = 15C0 * 0.24^0 * 0.76^(15 - 0)

p(x=0) = 1 * 1 * 0.0004701 = 0.00047018

p(x=1) = 15C1 * 0.24^1 * 0.76^(14)

p(x=1) = 15 * 0.24 * 0.021448 = 0.07721

p(x=2) = 15C2 * 0.24^2 * 0.76^(13) =

p(x=2) = 105 * 0.0576 * 0.02822 = 0.17068

p(x=3) = 15C3 * 0.24^3 * 0.76^(12)

p(x=3) = 455 * 0.013824 * 0.037133 = 0.23356

p(x=4) = 15C4 * 0.24^4 * 0.76^(11) =

p(x=4) = 1365 * 0.0033177 * 0.048859 = 0.22127

0.00047018 + 0.07721 + 0.17068 + 0.23356 + 0.22127 = 0.70319018

You might be interested in
You lose one quarter, 2 dimes, and 2 nickels
r-ruslan [8.4K]
.25+.10+.10+.05+.05=0.55
fraction:55/100
8 0
3 years ago
Lou wants to make a coffee mixture to sell. He is going to mix Sumatra coffee which costs $2.50 per pound with Columbian coffee
Scilla [17]
To answer this question you need to create 2 equations:
S+C=50
2.50S+3.75C=3.35*(50) 
S=50-C -so now you can plug in S into the second equation
2.50*(50-C)+3.75C=167.5
Now you just need to solve this equation, the final answer will be 34 pounds of colombian coffee and 16 pounds of sumatra coffee 
5 0
3 years ago
Scale factor of 3 and 6
GenaCL600 [577]

Answer:

3:6

3x2=6

Scale factor = 2

Step-by-step explanation:

3 0
3 years ago
If a coin is flipped twenty-five times and lands tails up seventeen times, the experimental probability that the coin lands tail
aliina [53]
Tails was landed 17/25 times, so the experimental probability would be .68 or 68%
17/25 = .68
Hope this helps!
5 0
3 years ago
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2
yaroslaw [1]

Answer:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

Points:

  • (7, 10) and (7, 20)

Slope-intercept form:

  • y= mx+b

slope is:

  • m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,

denominator of the fraction is zero, we can't divide by zero, so this line has no slope

----------

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

  • no, numerator is not zero

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

  • no, it has no slope

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

  • no, numerator is not zero

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

  • yes
3 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the answer for this d=24ft
    5·2 answers
  • Which of the following square pyramids have a volume of 24 mm. choose all that apply
    10·1 answer
  • A certain flight arrives on time 8484 percent of the time. Suppose 143143 flights are randomly selected. Use the normal approxim
    13·1 answer
  • Dina was running for two hours at a speed of 6 miles per hour. How far did she run?
    9·2 answers
  • What is the value of 14°?<br> A.0<br> B.1<br> C.14<br> D.undefined
    6·2 answers
  • Please help me (triangle properties)
    6·1 answer
  • Solve this math problem 1/6 x 58
    11·2 answers
  • Angles A and B are complementary. The measure of angle A<br> is yº. What is the measure of angle B?
    12·1 answer
  • 1<br> Find the slope of the line y = 1/4 X+9.
    9·1 answer
  • What is the solution to the system of equations below?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!