One kind of plant has only blue flowers and white flowers. According to a genetic model, the offsprings of a certain cross have a 75% chance to be blue-flowering, and a 25% chance to be white-flowering, independently of one another. Two hundred seeds of such a cross are raised, and 142 turns out to be blue-flowering. Are the data consistent with the model? Answer yes or no, and explain briefly.

Yes, the data is consistent with the model because the ratio of blue flowers with respect to white flowers is 3:1 which confirms the validity of the model.

Explanation:

It is clear from the given data that blue flower color is dominant over white flower color. Since the blue flowers are 75% and white flowers are 25% so the ratio of blue to white flowers will be 3:1 which is in accordance with Mendelian model of genetics.

When 200 seeds of such cross were raised, ~150 i.e. 142 plants had blue flowers while 200 - 142 = 58 which is ~ 50 plants had white flowers. So if we will find out ratio of blue to white flowers it will be 150:50 = 3:1 which is same as per the given genetic model.