question 2 to 5, In each one identify the distribution, the parameters with values (i.e. n, p etc) and what is meant by a success. Then use the tables to answer the provided question (showing clearly how you did any necessary calculations). Q 2. A local researcher is planning on asking 25 kindergarten children if they are more scared of nurses than doctors. A previous national poll revealed that only 30% of kindergarten children are actually more scared of nurses than doctors. Using the tables (a) What is the probability that less than 8 of the 25 kindergarten children say they are more scared of nurses than doctors. (b) What is the probability that more than 5 of the 25 kindergarten children say they are more scared of nurses than doctors. (c) What is the probability that 6 of the 25 kindergarten children say they are more scared of nurses than doctors. Q3. A local sports management company predicts that when the ticket Office first opens, a cashier services on average 5 customers in the first 30 minutes. Using the tables (a) What is the probability that when the ticket Office first opens, the cashier services exactly 5 customers in the first 30 minutes (b) What is the probability that when the ticket Office first opens, the cashier services 5 or less customers in the first 30 minutes (c) What is the probability that when the ticket Office first opens, the cashier services 5 or more customers in the first 30 minutes (d) What is the probability that when the ticket Office first opens, the cashier services exactly 8 customers in the first hour? minutes. Q4. The State of New York reported an average of 25% of the population actively smoked at least a pack of cigarettes daily. Using the tables (a) What is the probability that in a sample of 10 people, 4 or less of those selected actively smoked at least a pack of cigarettes daily. (b) What is the probability that in a sample of 15 people, less than half of those selected actively smoked at least a pack of cigarettes daily. (c) What is the probability that in a sample of 20 people, 4 or more of those selected DO NOT actively smoked at least a pack of cigarettes daily. (d) What is the probability that in a sample of 50 people, 11 or more of those selected actively smoked at least a pack of cigarettes daily. Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for an appointment they say they need to have on that very day during a standard 10 hour work day. Using the tables (a) What is the probability that a New Brunswick family doctor has more than 20 patients calling in for an appointment they say they need to have on that very day during a standard 10 hour work day? (b) What is the probability that a New Brunswick family doctor has more than 2 patients calling in for an appointment they say they need to have on that very day during the next hour? (c) What is the probability that a New Brunswick family doctor has 7 or less 20 patients calling in for an appointment they say they need to have on that very day during the next 3 hours? (d) For this situation, determine the probabilities of being within 1, 2 and 3 standard deviations for the mean and compare these results to the empirical rule
question 2 to 5, In each one identify the distribution, the parameters with values (i.e. n, p etc)
and what is meant by a success. Then use the tables to answer the provided question
(showing clearly how you did any necessary calculations).
Q 2. A local researcher is planning on asking 25 kindergarten children if they are more scared of
nurses than doctors. A previous national poll revealed that only 30% of kindergarten children
are actually more scared of nurses than doctors. Using the tables
(a) What is the probability that less than 8 of the 25 kindergarten children say they are more
scared of nurses than doctors.
(b) What is the probability that more than 5 of the 25 kindergarten children say they are
more scared of nurses than doctors.
(c) What is the probability that 6 of the 25 kindergarten children say they are more scared
of nurses than doctors.
Q3. A local sports management company predicts that when the ticket Office first opens, a cashier
services on average 5 customers in the first 30 minutes. Using the tables
(a) What is the probability that when the ticket Office first opens, the cashier services exactly
5 customers in the first 30 minutes
(b) What is the probability that when the ticket Office first opens, the cashier services 5 or
less customers in the first 30 minutes
(c) What is the probability that when the ticket Office first opens, the cashier services 5 or
more customers in the first 30 minutes
(d) What is the probability that when the ticket Office first opens, the cashier services exactly
8 customers in the first hour? minutes.
Q4. The State of New York reported an average of 25% of the population actively smoked at least
a pack of cigarettes daily. Using the tables
(a) What is the probability that in a sample of 10 people, 4 or less of those selected actively
smoked at least a pack of cigarettes daily.
(b) What is the probability that in a sample of 15 people, less than half of those selected
actively smoked at least a pack of cigarettes daily.
(c) What is the probability that in a sample of 20 people, 4 or more of those selected DO
NOT actively smoked at least a pack of cigarettes daily.
(d) What is the probability that in a sample of 50 people, 11 or more of those selected actively
smoked at least a pack of cigarettes daily.
Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for an
appointment they say they need to have on that very day during a standard 10 hour work day.
Using the tables
(a) What is the probability that a New Brunswick family doctor has more than 20 patients
calling in for an appointment they say they need to have on that very day during a standard
10 hour work day?
(b) What is the probability that a New Brunswick family doctor has more than 2 patients
calling in for an appointment they say they need to have on that very day during the next
hour?
(c) What is the probability that a New Brunswick family doctor has 7 or less 20 patients
calling in for an appointment they say they need to have on that very day during the next
3 hours?
(d) For this situation, determine the probabilities of being within 1, 2 and 3 standard deviations for the mean and compare these results to the
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