Answer:
a
b
Step-by-step explanation:
From the question we are told that
The population proportion is
Considering question a
The sample size is
Generally the standard deviation of this sampling distribution is
=>
=>
The sample proportion of cans that are recycled is
=>
Generally the probability that 300 or more will be recycled is mathematically represented as
From the z table the area under the normal curve to the left corresponding to 1.591 is
=>
Considering question b
Generally the lower limit of sample proportion of cans that are recycled is
=>
Generally the upper limit of sample proportion of cans that are recycled is
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Generally probability that between 260 and 300 will be recycled is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is
and
So
=>