Question

If a seed is planted, it has a 45% chance of growing into a healthy plant. If 144 randomly selected seeds are planted, answer the following.

a) Which is the correct wording for the random variable?

  Select an answer rv X = the probability that a randomly selected seed grows into a healthy plant rv X = grows into a healthy plant rv X = a randomly selected seed that grows into a healthy plant rv X = the number of 144 randomly selected seeds that grow into a healthy plant rv X = all seeds that grow into a healthy plant rv X= the number of randomly selected seeds that grow into a healthy plant rv X = a randomly selected seed

b) Pick the correct symbol: ? X̄ σ p s n N X μ  = 144

c) Pick the correct symbol: ? X X̄ p σ μ s n N  = 0.45

d) What is the probability that exactly 61 of them grow into a healthy plant?

Round final answer to 4 decimal places. 0.548

e) What is the probability that less than 61 of them grow into a healthy plant?

Round final answer to 4 decimal places.

f) What is the probability that more than 61 of them grow into a healthy plant?

Round final answer to 4 decimal places.

g) What is the probability that exactly 64 of them grow into a healthy plant?

Round final answer to 4 decimal places.

h) What is the probability that at least 64 of them grow into a healthy plant?

Round final answer to 4 decimal places.

i) What is the probability that at most 64 of them grow into a healthy plant

Round final answer to 4 decimal places.

Answer 1

• Random Variable
  Here, Random Variable X is the number of 144 randomly selected seeds that grow into a healthy plant.
  Hence, option ii) is correct.
  
  Clearly,
  The p.m.f. is given by:
  
  
  
• Parameters
  Here, the parameters used are: n = 144
  and, p = 0.45
  
  
• d)
  Here, we are to find,
  
  
  
  
  
• e)
  Here, we are to find,
  
  
  
  
  
• f)
  Here, we are to find,
  
  
  
  
  
• g)
  Here, we are to find,
  
  
  
  
  
• h)
  Here, we are to find,
  
  
  
  
  
• i)
  Here, we are to find,
  
  
  
  
  

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