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
tatyana61 [14]
3 years ago
9

For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 a

nd a standard deviation of 2.1. 2.What is the z-score value ofa randomly selected bag of Skittles that has35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303. What is the probability that a randomly selected bag of Skittles has at least 37Skittles? a) .152 b) .247 c) .253 d).747e).7534. What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125. What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd
Mathematics
1 answer:
aleksley [76]3 years ago
7 0

Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

You might be interested in
Find the radius of each circle. use 3.14for the value of Pie. round your answer to
muminat

9514 1404 393

Answer:

  8.6 km

Step-by-step explanation:

The circumference of a circle is given in terms of its radius as ...

  C = 2πr

Then the radius can be found from the circumference using ...

  r = C/(2π)

Filling in the given values, we find the radius to be ...

  r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km

The radius is about 8.6 km.

7 0
3 years ago
30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week fr
vazorg [7]
B looks about right.
7 0
3 years ago
Is the relation a function?
Margaret [11]
No; a domain value has two range values.

x = -2 then y = 1 and 2

they would form a vertical line, which tells us that it's not a function
8 0
3 years ago
What is the equation?
AfilCa [17]

Answer:

76

Step-by-step explanation:  and explain

3 0
2 years ago
Read 2 more answers
What is the amniotic egg​
Leto [7]
A shelled, water-retaining egg with four membranes that enables reptiles, birds, and egg-laying mammals to complete their life cycles on dry land.
5 0
2 years ago
Other questions:
  • Please give me some help with this question.
    15·1 answer
  • I need all of these please help
    9·1 answer
  • The ages of the members of four teams are summarized below. Answer the questions about them.
    9·1 answer
  • HELP ME PLEASE i need this right now
    15·2 answers
  • My dumb brain can’t think anymore helppp
    14·1 answer
  • Which is not a statistical question?​
    7·1 answer
  • What is the answer and steps to the following equation: 6(4-z)=2z
    11·2 answers
  • ILL GIVE BRAINLIEST HELP
    6·1 answer
  • Which ordered pairs are solutions to the equation 6x+5y=5?
    12·1 answer
  • Don recently received his first credit card, a MasterCard with a credit line of $500. In the first month he had it, he ran up ch
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!