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
9

The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams. I

f a strawberry is randomly selected, what is the probability that the strawberry weighs less than 8.5 grams
Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
This is a problem of Standard Normal distribution.

We have mean= 12 grams
Standard Deviation = 2.5 grams

First we convert 8.5 to z score. 8.5 converted to z score for given mean and standard deviation will be:

z= \frac{8.5-12}{2.5} =-1.4

So, from standard normal table we need to find the probability of z score to be less than -1.4. The probability comes out to be 0.0808

Thus, the <span>probability that the strawberry weighs less than 8.5 grams is 0.0808</span>
You might be interested in
Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi
QveST [7]

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

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 question, we have that:

\mu = 387.20, \sigma = 68.50

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

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

Z = \frac{425 - 387.20}{68.50}

Z = 0.55

Z = 0.55 has a pvalue of 0.7088

X = 325

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

Z = \frac{325 - 387.20}{68.50}

Z = -0.91

Z = -0.91 has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

7 0
3 years ago
I need Help on 1-13 PLEASE ANSWER ASAP &amp; QUICKLY I REALLY NEED YOUR HELP!! I don't accept: i don't knows people trying to he
Amanda [17]
1. >  
2. = 
3. <
4. >
5. >
6. <
7. 9.1
8. 0.001

4 0
3 years ago
Read 2 more answers
What is the cost of the TV?
sasho [114]
20%of £800 is 800÷5 =160
800 + 160 =960
6 0
3 years ago
Need help again asap giving brainliest
Liono4ka [1.6K]

Answer:

u forgot to put the question

4 0
3 years ago
Which is the best description for the graph?
ludmilkaskok [199]

Answer:

B. the graph decreases remains contant then decreases again i beleive

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Two angles lie along a straight line. If m∠A is five times the sum of m∠B plus 7.2°, what is m∠B?
    15·2 answers
  • Evaluate the expressions<br> (2/7)^0=<br> (9)^0=
    12·1 answer
  • Janice just got a 5% raise, so her hourly pay increased by
    7·1 answer
  • Jack usually mows his lawn in 3 hours. Marilyn can mow the same yard in 6 hours. How much time would it take for them to mow the
    6·1 answer
  • Simply and write in exponential form<br>(1) p2*p-7​
    12·1 answer
  • Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT c
    10·1 answer
  • PLEASE HELP I mixed everything up and now I dont know!!
    6·2 answers
  • Solve the system using elimination.
    12·2 answers
  • Can someone please help me with this
    10·1 answer
  • PLEASE HELP ILL GIVE BRAINLIESTTTT
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!