The wing lengths of houseflies was examined in the paper: Sokal, R.R. and P.E. Hunter. 1955 morphometric analysis of DDT-resistant and non-resistant housefly strains Ann. Entomol. So Amer. 48: 499-507. For the housefly data, the mean wing length was found to be normally distributed with mear 45.5mm and the standard deviation is s = 3.92mm. Answer the following probability question about housefly wing lengths. a) What is the probability that a randomly selected housefly has a wing length of over 50mm b) What is the probability that a randomly selected housefly has a wing length between 30mn and 50mm? c) What is the probability that a randomly selected group of 9 houseflies will have a mean wing length of over 50mm?

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Of those parts returned?
3. The wing lengths of houseflies was examined in the paper: Sokal, R.R. and P.E. Hunter. 1955.
morphometric analysis of DDT-resistant and non-resistant housefly strains Ann. Entomol. Soc.
Amer. 48: 499-507.
For the housefly data, the mean wing length was found to be normally distributed with mean =
45.5mm and the standard deviation is s = 3.92mm. Answer the following probability questions
about housefly wing lengths.
a) What is the probability that a randomly selected housefly has a wing length of over 50mm?
b) What is the probability that a randomly selected housefly has a wing length between 30mm
and 50mm?
c) What is the probability that a randomly selected group of 9 houseflies will have a mean
wing length of over 50mm?
d) What is the mean wing length that a randomly selected group of 9 houseflies will have with
a probability of 95%?
4. The following data are the results from the Pfizer Covid 19 vaccine trials.
Efficacy End-Point Subgroup
BNT16262, 30 rg (N-21,669)
No. of participants Surveillance time
person-yr (no. at risk)
Placebo (N-21,686)
No. of participants Surveillance time
person-yr (no. at risk)
Covid-19 occurrence
After dose 1
After dose 1 to before dose 2
Dose 2 to 7 days after dose 2
27 Days after dose 2
4.015 (21,314)
3.982 (21.258)
275
82
21
172
50
39
9.
a) 21669 individuals were given the vaccine in this trial and 50 were infected after they
received the first vaccine. What is the probability of becoming infected with Covid 19 after
Transcribed Image Text:Of those parts returned? 3. The wing lengths of houseflies was examined in the paper: Sokal, R.R. and P.E. Hunter. 1955. morphometric analysis of DDT-resistant and non-resistant housefly strains Ann. Entomol. Soc. Amer. 48: 499-507. For the housefly data, the mean wing length was found to be normally distributed with mean = 45.5mm and the standard deviation is s = 3.92mm. Answer the following probability questions about housefly wing lengths. a) What is the probability that a randomly selected housefly has a wing length of over 50mm? b) What is the probability that a randomly selected housefly has a wing length between 30mm and 50mm? c) What is the probability that a randomly selected group of 9 houseflies will have a mean wing length of over 50mm? d) What is the mean wing length that a randomly selected group of 9 houseflies will have with a probability of 95%? 4. The following data are the results from the Pfizer Covid 19 vaccine trials. Efficacy End-Point Subgroup BNT16262, 30 rg (N-21,669) No. of participants Surveillance time person-yr (no. at risk) Placebo (N-21,686) No. of participants Surveillance time person-yr (no. at risk) Covid-19 occurrence After dose 1 After dose 1 to before dose 2 Dose 2 to 7 days after dose 2 27 Days after dose 2 4.015 (21,314) 3.982 (21.258) 275 82 21 172 50 39 9. a) 21669 individuals were given the vaccine in this trial and 50 were infected after they received the first vaccine. What is the probability of becoming infected with Covid 19 after
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