5. From experience a high-jumper knows that he can clear a height of at least 1.78 m once in 5 attempts. He also knows that he can clear a height of at least 1.65 m on 7 out of 10 attempts.
Assuming that the heights the high-jumper can reach follow a Normal distribution,
- draw a sketch to illustrate the above information,
- find, to 3 decimal places, the mean and the standard deviation of the heights the high-jumper can reach,
- calculate the probability that he can jump at least 1.74 m .