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
MrRa [10]
2 years ago
14

our boss is a biologist who needs wood samples from long-leaf pine trees with a fungal disease which is only visible under a mic

roscope, and she sends you on an assignment to collect the samples. She wants at least 50 different diseased samples. She tells you that approximately 28% of long-leaf pine trees currently have the fungal disease. If you sample 160 long-leaf pine trees at random, what is the probability you’ll have at least 50 diseased samples to return to your boss? (Use the normal approximation to calculate this probability and chose the closest answer to the question.)
Mathematics
1 answer:
Kryger [21]2 years ago
5 0

Answer:

Step-by-step explanation:

In this scenario, the probability of success, p is 28% = 28/100 = 0.28

Number of samples, n = 160

Probability of failure, q = 1 - p = 1 - 0.28 = 0.72

Mean,µ = np = 0.28 × 160 = 44.8

Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68

Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as

P(x ≥ 50) = 1 - P(x < 50)

For P(x < 50)

z = (50 - 44.8)/5.68 = 0.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.819

Therefore,

P(x ≥ 50) = 1 - 0.819 = 0.181

You might be interested in
Complete the table and then find the function rule. Remember to put in the y=mx+b form
astraxan [27]

Answer:

1. 81        2. -20      3.  168       4.  -24

Step-by-step explanation:

I hope this is right :)

8 0
2 years ago
Assume you are in a city that is arranged in square blocks, like a coordinate plane, and you are looking at a map. Explain how t
s344n2d4d5 [400]
Go south(down) 4 blocks and west(left) 3 blocks!
4 0
3 years ago
Is this the correct answer i need help please
xz_007 [3.2K]
I do believe you are right 
6 0
2 years ago
Read 2 more answers
I got 7 to go :( help plz
gladu [14]

Answer:

I think the second one is the answer ; 2√b

8 0
3 years ago
Read 2 more answers
PART 1: Identify the two equivalent forms for 3/5% below
kaheart [24]
Part 1: Equivalent fraction=3/500
Equivalent Decimal= .006
Part 2: A and E
4 0
3 years ago
Other questions:
  • vinny invested $25,000 in an account that earns 4.25% simple interest. if vinny doesn't make any additional deposits or withdraw
    15·1 answer
  • What is the value of x? enter your answer in the box. units triangle a p r with line segment c d parallel to segment a p with c
    8·2 answers
  • What is 143/7 as a mixed number
    15·2 answers
  • I need help please?!!
    11·1 answer
  • I need help with “B”
    9·1 answer
  • PLZ HELP I BEG DUE IN 30 MIN!!! 30 POINTS!!!!
    14·2 answers
  • 13=2m+5 solve for m?
    12·2 answers
  • WILL GIVE BRAINLIEST!!!!!!
    14·1 answer
  • Hello , may someone help me on this plz
    13·1 answer
  • Please help me how to get the answer for this one
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!