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
ella [17]
3 years ago
15

The number of pieces of mail that a department receives each day can be modeled by a distribution having mean 44 and standard de

viation 8. For a random sample of 35 days, what can be said about the probability that the sample mean will be less than 40 or greater than 48 using?
Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

Answer:

Step-by-step explanation:

Assuming a normal distribution for the number of pieces of mail that a department receives each day, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = number of pieces of mail

u = mean

s = standard deviation

From the information given,

u = 44

s = 8

We want to find

P(x lesser than or 40) or P(x greater than 48)

For P(x lesser than or 40)

For x = 40,

z = (40 - 44)/8 = - 4/8 = - 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.30854

P(x greater than 48) = 1 - P(lesser than or or equal 48)

For x = 48,

z = (48 - 44)/8 = 4/8 = 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.69146

P(x greater than 48) = 1 - 0.69146 = 0.30854

The probability that the sample mean will be less than 40 or greater than 48 using is

0.30854 + 0.30854 = 0.69146

You might be interested in
A florist has 49 red roses and 63 white roses. The florist wants to put an equal number of red roses in each centerpiece, along
RideAnS [48]
7..
49 can be equally divided by seven, which means there would be 9 red roses in each center piece. And 63 can be equally divided by 7 which means there would by 7 white roses in each center piece.
hope this helps
5 0
3 years ago
Find the sum of the first 42 terms of the following series, to the nearest
balandron [24]

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by  

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

a_1=2,   n=42,     d=5

The 42nd term is therefore given by  

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

The sum of the first 42 terms of the series, therefore, is 4389

5 0
2 years ago
MATH!<br> - 11/14 x - 1/17
Basile [38]

Answer:

11/238

Step-by-step explanation:

can i have brainliest

8 0
3 years ago
4(2x − 7)2 if x = 5...........................
siniylev [52]

Answer:

Answer should be 24.......

3 0
2 years ago
Read 2 more answers
Is 1/8 and 8/8 are equal parts??
Fed [463]
Well 1/8 is smaller than 8/8 so they should not be equal
5 0
3 years ago
Read 2 more answers
Other questions:
  • Find k(3) for the function k(n) = 4n2
    14·1 answer
  • what is the missing number? imput B;4,12,16,24,32,40. output A:8,16,20,_,_ rules a=b+4. SUPER URGENT !!!!!!!!!!
    12·1 answer
  • A TRAFFIC LIGHT IS RED FOR 38 SECONDS YELLOW FOR 10 SECONDS AND GREEN FOR ONE MINUTE AND TWELVE SEONDS. IN A CONSTANTLY REPEATIN
    12·1 answer
  • Form 914 M.
    13·1 answer
  • *PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.
    7·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
    11·1 answer
  • WILL GIVE A BRAINLIEST!!
    14·2 answers
  • What objective function can be used to maximize
    10·2 answers
  • If x is directly proportional to y and x=3.4 when y=2 find y when x=5.1
    11·1 answer
  • What is this! I will mark u as branilyst
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!