In Mendel's genetic experiments many characteristics of the plants were quantified, such as their height (tall...

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In Mendel's genetic experiments many characteristics of the plants were quantified, such as their height (tall or short), flower position (axial or terminal), and seed color (colored or white). Suppose 100 plants are measured, and 36 are tall with axial flowers and colored seeds. Further, suppose a total of 26 plants have white seeds, 5 of them being short and 5 having terminal flowers. There are no short plants with terminal flowers, and the total number of short plants is 15. What is the probability a randomly selected plant will have flowers in the terminal position, but will not have white seeds? Round your answer to three decimal places. Answer: A blood test for diabetes gives a positive result with a proportion of 0.83 when an individual has diabetes and a negative result with a proportion of 0.81 when they do not. Approximately a proportion of 0.89 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals. Answer: Zoonotic disease outbreaks are infectious disease outbreaks in humans that are caused by pathogens from wild or domesticated animals. Suppose two pathogen genotypes occur in chickens, and one of them is accidentally transmitted to a farmer, each being selected with probability 0.22 for type 1 or 0.78 for type 2. If type 1 is transmitted, then an outbreak will occur with probability 0.82, whereas if type 2 is transmitted, then an outbreak will occur with probability 0.19. What is the overall probability of an outbreak? Round your answer to five decimal places. A probability density function for the random variable X is given by pi = ki, where k is a constant. What value must k be if X takes on integer values between 0 and 39? Round your answer to five decimal places. Answer: Consider the following card game with a well-shuffled deck of cards. If you draw a red card, you win nothing. If you get a spade, you win $74.55. For any club, you win $14.94 plus an extra $76.99 for the ace of clubs. What is the expected value of your winnings if you play the game? Round your answer to five decimal places. Answer: We have learned two geographical speciation modes - allopatric and sympatric. The example of frogs developed into two species at year 2500, right and left. Explain which geographic speciation mode led to these two species. Provide your reasoning using the information we learned from the class. *** (Picture is in my lecture slides) *** In Mendel's genetic experiments many characteristics of the plants were quantified, such as their height (tall or short), flower position (axial or terminal), and seed color (colored or white). Suppose 100 plants are measured, and 36 are tall with axial flowers and colored seeds. Further, suppose a total of 26 plants have white seeds, 5 of them being short and 5 having terminal flowers. There are no short plants with terminal flowers, and the total number of short plants is 15. What is the probability a randomly selected plant will have flowers in the terminal position, but will not have white seeds? Round your answer to three decimal places. Answer: A blood test for diabetes gives a positive result with a proportion of 0.83 when an individual has diabetes and a negative result with a proportion of 0.81 when they do not. Approximately a proportion of 0.89 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals. Answer: Zoonotic disease outbreaks are infectious disease outbreaks in humans that are caused by pathogens from wild or domesticated animals. Suppose two pathogen genotypes occur in chickens, and one of them is accidentally transmitted to a farmer, each being selected with probability 0.22 for type 1 or 0.78 for type 2. If type 1 is transmitted, then an outbreak will occur with probability 0.82, whereas if type 2 is transmitted, then an outbreak will occur with probability 0.19. What is the overall probability of an outbreak? Round your answer to five decimal places. A probability density function for the random variable X is given by pi = ki, where k is a constant. What value must k be if X takes on integer values between 0 and 39? Round your answer to five decimal places. Answer: Consider the following card game with a well-shuffled deck of cards. If you draw a red card, you win nothing. If you get a spade, you win $74.55. For any club, you win $14.94 plus an extra $76.99 for the ace of clubs. What is the expected value of your winnings if you play the game? Round your answer to five decimal places. Answer: We have learned two geographical speciation modes - allopatric and sympatric. The example of frogs developed into two species at year 2500, right and left. Explain which geographic speciation mode led to these two species. Provide your reasoning using the information we learned from the class. *** (Picture is in my lecture slides) ***