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
Flura [38]
3 years ago
14

assume that random guesses are made for 8 multiple choice questions on an SAT test, so that there are n=9 trials, each with prob

ability of success (correct) given by p=0.6. find the indicated probability for the number of correct answers. find the probability that the number x of correct answers is fewer than 4.
Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

P(x

Step-by-step explanation:

If we call x the number of correct questions obtained in the 9 attempts, then:

x is a discrete random variable that can be modeled by a binomial probability distribution p, with n = 9 trials.

So, the p of x successes has the following formula.

P(x) =\frac{n!}{x!(n-x)!}*p^x(1-p)^{n-x}

Where:

n = 9

p = 0.6

We are looking for P(x<4)

By definition:

P(x

Then:

P(x\leq3)=\sum_{x=0}^{3} \frac{9!}{x!(9-x)!}*(0.6)^x(1-0.6)^{9-x}

P(x\leq3)=0.0994

You might be interested in
Evaluate and reduce:<br> 12 + (12)<br> Enter the number that belongs in the<br> green box.<br> [?]
Firlakuza [10]

Answer:

24

Step-by-step explanation:

12 + (12)

first do for the bracket

12 + 12

24

3 0
3 years ago
It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally dis
AlexFokin [52]

Answer:

a) 0.18% of cold sufferers experience fewer than 4 days of symptoms

b) 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.2

a. What proportion of cold sufferers experience fewer than 4 days of symptoms?

This is the pvalue of Z when X = 4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{4 - 7.5}{1.2}

Z = -2.92

Z = -2.92 has a pvalue of 0.0018.

So 0.18% of cold sufferers experience fewer than 4 days of symptoms.

b. What proportion of cold sufferers experience symptoms for between 7 and 10 days?

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 7. So

X = 10

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 7.5}{1.2}

Z = 2.08

Z = 2.08 has a pvalue of 0.9812.

X = 7

Z = \frac{X - \mu}{\sigma}

Z = \frac{7 - 7.5}{1.2}

Z = -0.42

Z = -0.42 has a pvalue of 0.3372.

So 0.9812 - 0.3372 = 0.644 = 64.40% of cold sufferers experience symptoms for between 7 and 10 days.

8 0
3 years ago
What is the value of k in the product of powers below?
balu736 [363]

k=2

Step-by-step explanation:

since all the base are 10 you use the powers to solve it.

so it would be -3+1+k=-3=-3

3 0
3 years ago
Read 2 more answers
25 points pls help this is really hard
Katarina [22]

Answer:

10

Step-by-step explanation:

you do step by step math and after you do that you will get 10

8 0
2 years ago
Read 2 more answers
A child on a merry go round has a linear velocity of 6mph. If the child is sitting 10ft from the center of the merrry go round,
lara31 [8.8K]

Answer:

do u mind helping me for school ?

if so check my latest questions pls ty

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Please help ASAP THANKS x
    9·1 answer
  • 1 liter of petrol cost r13.6 how many liter r200?
    14·1 answer
  • Reduce the fraction 36/48 to its lowest term
    11·1 answer
  • Write an equation in point slope form for the line through the given point with the given slope (-3,5); m=2/3
    12·1 answer
  • (1 point) Rewrite the following using a single exponent.
    9·1 answer
  • the number of calories in a piece of pizza is 20 less than 3 time the number in a bag of chips the pizza and chips together have
    7·1 answer
  • Whats the length of the wire
    14·1 answer
  • In a rigid motion, which of the following is/are preserved?
    12·1 answer
  • What's the distance between (-6,4) and (1,-4)
    9·1 answer
  • Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!