Question

0. Exercise 1: Plant Genetics A peony plant with red petals was crossed with another plant having streaky petals. The probability that an offspring from this cross has red flowers is 0.75. Let X be the number of plants with red petals resulting from 100 seeds from this cross that were collected and germinated.

   1. What is the exact probability distribution for X?

   2. Using ’Chart Builder’ on SPSS, plot a simple bar plot (using the option ’Bar Style: Whisker’) for the

      variable X (Here you need first to calculate, using SPSS, the probabilities of all the possible values for X).

   3. Is it appropriate to approximate the distribution in part 1 using the normal distribution? Explain.

   4. Use an appropriate method to find the approximate probability that between 70 and 80 (inclusive) offspring plants have red flowers. Here give the appropriate formula for the probability, then use SPSS to do the calculations.

   5. Using SPSS, calculate the approximate probability that 53 or fewer offspring plants had red flowers? Is this an unusual occurrence?

Answer 1